diff --git a/assets/shaders/custom_vertex_attribute.wgsl b/assets/shaders/custom_vertex_attribute.wgsl
index 802c28df13..79454073a6 100644
--- a/assets/shaders/custom_vertex_attribute.wgsl
+++ b/assets/shaders/custom_vertex_attribute.wgsl
@@ -1,6 +1,5 @@
 #import bevy_pbr::mesh_bindings   mesh
-#import bevy_pbr::mesh_functions  mesh_position_local_to_clip
-#import bevy_render::instance_index
+#import bevy_pbr::mesh_functions  get_model_matrix, mesh_position_local_to_clip
 
 struct CustomMaterial {
     color: vec4<f32>,
@@ -23,7 +22,7 @@ struct VertexOutput {
 fn vertex(vertex: Vertex) -> VertexOutput {
     var out: VertexOutput;
     out.clip_position = mesh_position_local_to_clip(
-        mesh[bevy_render::instance_index::get_instance_index(vertex.instance_index)].model,
+        get_model_matrix(vertex.instance_index),
         vec4<f32>(vertex.position, 1.0),
     );
     out.blend_color = vertex.blend_color;
diff --git a/assets/shaders/instancing.wgsl b/assets/shaders/instancing.wgsl
index 055c9dbf41..a785b088be 100644
--- a/assets/shaders/instancing.wgsl
+++ b/assets/shaders/instancing.wgsl
@@ -1,4 +1,4 @@
-#import bevy_pbr::mesh_functions  mesh_position_local_to_clip
+#import bevy_pbr::mesh_functions  get_model_matrix, mesh_position_local_to_clip
 #import bevy_pbr::mesh_bindings   mesh
 
 struct Vertex {
@@ -19,12 +19,12 @@ struct VertexOutput {
 fn vertex(vertex: Vertex) -> VertexOutput {
     let position = vertex.position * vertex.i_pos_scale.w + vertex.i_pos_scale.xyz;
     var out: VertexOutput;
-    // NOTE: The 0 index into the Mesh array is a hack for this example as the
-    // instance_index builtin would map to the wrong index in the Mesh array.
-    // This index could be passed in via another uniform instead but it's
-    // unnecessary for the example.
+    // NOTE: Passing 0 as the instance_index to get_model_matrix() is a hack
+    // for this example as the instance_index builtin would map to the wrong
+    // index in the Mesh array. This index could be passed in via another
+    // uniform instead but it's unnecessary for the example.
     out.clip_position = mesh_position_local_to_clip(
-        mesh[0].model,
+        get_model_matrix(0),
         vec4<f32>(position, 1.0)
     );
     out.color = vertex.i_color;
diff --git a/crates/bevy_math/src/affine3.rs b/crates/bevy_math/src/affine3.rs
new file mode 100644
index 0000000000..51598e4bea
--- /dev/null
+++ b/crates/bevy_math/src/affine3.rs
@@ -0,0 +1,29 @@
+use glam::{Affine3A, Mat3, Vec3};
+
+/// Reduced-size version of `glam::Affine3A` for use when storage has
+/// significant performance impact. Convert to `glam::Affine3A` to do
+/// non-trivial calculations.
+pub struct Affine3 {
+    /// Scaling, rotation, shears, and other non-translation affine transforms
+    pub matrix3: Mat3,
+    /// Translation
+    pub translation: Vec3,
+}
+
+impl From<&Affine3A> for Affine3 {
+    fn from(affine: &Affine3A) -> Self {
+        Self {
+            matrix3: affine.matrix3.into(),
+            translation: affine.translation.into(),
+        }
+    }
+}
+
+impl From<&Affine3> for Affine3A {
+    fn from(affine3: &Affine3) -> Self {
+        Self {
+            matrix3: affine3.matrix3.into(),
+            translation: affine3.translation.into(),
+        }
+    }
+}
diff --git a/crates/bevy_math/src/lib.rs b/crates/bevy_math/src/lib.rs
index de0bc681c8..1c75dc015d 100644
--- a/crates/bevy_math/src/lib.rs
+++ b/crates/bevy_math/src/lib.rs
@@ -7,10 +7,12 @@
 #![allow(clippy::type_complexity)]
 #![warn(missing_docs)]
 
+mod affine3;
 pub mod cubic_splines;
 mod ray;
 mod rects;
 
+pub use affine3::*;
 pub use ray::Ray;
 pub use rects::*;
 
diff --git a/crates/bevy_pbr/src/light.rs b/crates/bevy_pbr/src/light.rs
index 3e8c0d4517..08b21db7a3 100644
--- a/crates/bevy_pbr/src/light.rs
+++ b/crates/bevy_pbr/src/light.rs
@@ -2025,7 +2025,7 @@ pub fn check_light_mesh_visibility(
                         view_frusta.iter().zip(view_visible_entities)
                     {
                         // Disable near-plane culling, as a shadow caster could lie before the near plane.
-                        if !frustum.intersects_obb(aabb, &transform.compute_matrix(), false, true) {
+                        if !frustum.intersects_obb(aabb, &transform.affine(), false, true) {
                             continue;
                         }
 
@@ -2098,7 +2098,7 @@ pub fn check_light_mesh_visibility(
 
                     // If we have an aabb and transform, do frustum culling
                     if let (Some(aabb), Some(transform)) = (maybe_aabb, maybe_transform) {
-                        let model_to_world = transform.compute_matrix();
+                        let model_to_world = transform.affine();
                         // Do a cheap sphere vs obb test to prune out most meshes outside the sphere of the light
                         if !light_sphere.intersects_obb(aabb, &model_to_world) {
                             continue;
@@ -2162,7 +2162,7 @@ pub fn check_light_mesh_visibility(
 
                     // If we have an aabb and transform, do frustum culling
                     if let (Some(aabb), Some(transform)) = (maybe_aabb, maybe_transform) {
-                        let model_to_world = transform.compute_matrix();
+                        let model_to_world = transform.affine();
                         // Do a cheap sphere vs obb test to prune out most meshes outside the sphere of the light
                         if !light_sphere.intersects_obb(aabb, &model_to_world) {
                             continue;
diff --git a/crates/bevy_pbr/src/material.rs b/crates/bevy_pbr/src/material.rs
index e14c9f9e9d..13e736d139 100644
--- a/crates/bevy_pbr/src/material.rs
+++ b/crates/bevy_pbr/src/material.rs
@@ -1,6 +1,6 @@
 use crate::{
     render, AlphaMode, DrawMesh, DrawPrepass, EnvironmentMapLight, MeshPipeline, MeshPipelineKey,
-    MeshUniform, PrepassPipelinePlugin, PrepassPlugin, RenderLightSystems,
+    MeshTransforms, MeshUniform, PrepassPipelinePlugin, PrepassPlugin, RenderLightSystems,
     ScreenSpaceAmbientOcclusionSettings, SetMeshBindGroup, SetMeshViewBindGroup, Shadow,
 };
 use bevy_app::{App, Plugin};
@@ -382,7 +382,7 @@ pub fn queue_material_meshes<M: Material>(
     material_meshes: Query<(
         &Handle<M>,
         &Handle<Mesh>,
-        &MeshUniform,
+        &MeshTransforms,
         &GpuArrayBufferIndex<MeshUniform>,
     )>,
     images: Res<RenderAssets<Image>>,
@@ -468,7 +468,7 @@ pub fn queue_material_meshes<M: Material>(
 
         let rangefinder = view.rangefinder3d();
         for visible_entity in &visible_entities.entities {
-            if let Ok((material_handle, mesh_handle, mesh_uniform, batch_indices)) =
+            if let Ok((material_handle, mesh_handle, mesh_transforms, batch_indices)) =
                 material_meshes.get(*visible_entity)
             {
                 if let (Some(mesh), Some(material)) = (
@@ -516,7 +516,8 @@ pub fn queue_material_meshes<M: Material>(
                         }
                     };
 
-                    let distance = rangefinder.distance(&mesh_uniform.transform)
+                    let distance = rangefinder
+                        .distance_translation(&mesh_transforms.transform.translation)
                         + material.properties.depth_bias;
                     match material.properties.alpha_mode {
                         AlphaMode::Opaque => {
diff --git a/crates/bevy_pbr/src/prepass/mod.rs b/crates/bevy_pbr/src/prepass/mod.rs
index 9b1bde4b26..bfdd3ff003 100644
--- a/crates/bevy_pbr/src/prepass/mod.rs
+++ b/crates/bevy_pbr/src/prepass/mod.rs
@@ -15,7 +15,7 @@ use bevy_ecs::{
         SystemParamItem,
     },
 };
-use bevy_math::Mat4;
+use bevy_math::{Affine3A, Mat4};
 use bevy_reflect::TypeUuid;
 use bevy_render::{
     globals::{GlobalsBuffer, GlobalsUniform},
@@ -46,8 +46,8 @@ use bevy_utils::tracing::error;
 
 use crate::{
     prepare_lights, setup_morph_and_skinning_defs, AlphaMode, DrawMesh, Material, MaterialPipeline,
-    MaterialPipelineKey, MeshLayouts, MeshPipeline, MeshPipelineKey, MeshUniform, RenderMaterials,
-    SetMaterialBindGroup, SetMeshBindGroup,
+    MaterialPipelineKey, MeshLayouts, MeshPipeline, MeshPipelineKey, MeshTransforms, MeshUniform,
+    RenderMaterials, SetMaterialBindGroup, SetMeshBindGroup,
 };
 
 use std::{hash::Hash, marker::PhantomData};
@@ -203,7 +203,7 @@ pub fn update_previous_view_projections(
 }
 
 #[derive(Component)]
-pub struct PreviousGlobalTransform(pub Mat4);
+pub struct PreviousGlobalTransform(pub Affine3A);
 
 pub fn update_mesh_previous_global_transforms(
     mut commands: Commands,
@@ -216,7 +216,7 @@ pub fn update_mesh_previous_global_transforms(
         for (entity, transform) in &meshes {
             commands
                 .entity(entity)
-                .insert(PreviousGlobalTransform(transform.compute_matrix()));
+                .insert(PreviousGlobalTransform(transform.affine()));
         }
     }
 }
@@ -762,7 +762,7 @@ pub fn queue_prepass_material_meshes<M: Material>(
     material_meshes: Query<(
         &Handle<M>,
         &Handle<Mesh>,
-        &MeshUniform,
+        &MeshTransforms,
         &GpuArrayBufferIndex<MeshUniform>,
     )>,
     mut views: Query<(
@@ -809,7 +809,7 @@ pub fn queue_prepass_material_meshes<M: Material>(
         let rangefinder = view.rangefinder3d();
 
         for visible_entity in &visible_entities.entities {
-            let Ok((material_handle, mesh_handle, mesh_uniform, batch_indices)) = material_meshes.get(*visible_entity) else {
+            let Ok((material_handle, mesh_handle, mesh_transforms, batch_indices)) = material_meshes.get(*visible_entity) else {
                 continue;
             };
 
@@ -852,8 +852,8 @@ pub fn queue_prepass_material_meshes<M: Material>(
                 }
             };
 
-            let distance =
-                rangefinder.distance(&mesh_uniform.transform) + material.properties.depth_bias;
+            let distance = rangefinder.distance_translation(&mesh_transforms.transform.translation)
+                + material.properties.depth_bias;
             match alpha_mode {
                 AlphaMode::Opaque => {
                     opaque_phase.add(Opaque3dPrepass {
diff --git a/crates/bevy_pbr/src/prepass/prepass.wgsl b/crates/bevy_pbr/src/prepass/prepass.wgsl
index 82fa387f12..396935ff41 100644
--- a/crates/bevy_pbr/src/prepass/prepass.wgsl
+++ b/crates/bevy_pbr/src/prepass/prepass.wgsl
@@ -3,7 +3,7 @@
 #import bevy_pbr::skinning
 #import bevy_pbr::morph
 #import bevy_pbr::mesh_bindings mesh
-#import bevy_render::instance_index
+#import bevy_render::instance_index get_instance_index
 
 // Most of these attributes are not used in the default prepass fragment shader, but they are still needed so we can
 // pass them to custom prepass shaders like pbr_prepass.wgsl.
@@ -92,7 +92,7 @@ fn vertex(vertex_no_morph: Vertex) -> VertexOutput {
 #else // SKINNED
     // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
     // See https://github.com/gfx-rs/naga/issues/2416
-    var model = mesh[bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)].model;
+    var model = bevy_pbr::mesh_functions::get_model_matrix(vertex_no_morph.instance_index);
 #endif // SKINNED
 
     out.clip_position = bevy_pbr::mesh_functions::mesh_position_local_to_clip(model, vec4(vertex.position, 1.0));
@@ -113,7 +113,7 @@ fn vertex(vertex_no_morph: Vertex) -> VertexOutput {
         vertex.normal,
         // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
         // See https://github.com/gfx-rs/naga/issues/2416
-        bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)
+        get_instance_index(vertex_no_morph.instance_index)
     );
 #endif // SKINNED
 
@@ -123,7 +123,7 @@ fn vertex(vertex_no_morph: Vertex) -> VertexOutput {
         vertex.tangent,
         // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
         // See https://github.com/gfx-rs/naga/issues/2416
-        bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)
+        get_instance_index(vertex_no_morph.instance_index)
     );
 #endif // VERTEX_TANGENTS
 #endif // NORMAL_PREPASS
@@ -133,7 +133,7 @@ fn vertex(vertex_no_morph: Vertex) -> VertexOutput {
     // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
     // See https://github.com/gfx-rs/naga/issues/2416
     out.previous_world_position = bevy_pbr::mesh_functions::mesh_position_local_to_world(
-        mesh[bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)].previous_model,
+        bevy_pbr::mesh_functions::get_previous_model_matrix(vertex_no_morph.instance_index),
         vec4<f32>(vertex.position, 1.0)
     );
 #endif // MOTION_VECTOR_PREPASS
diff --git a/crates/bevy_pbr/src/render/mesh.rs b/crates/bevy_pbr/src/render/mesh.rs
index 46693e8097..6c61f05b8f 100644
--- a/crates/bevy_pbr/src/render/mesh.rs
+++ b/crates/bevy_pbr/src/render/mesh.rs
@@ -18,11 +18,10 @@ use bevy_ecs::{
     query::ROQueryItem,
     system::{lifetimeless::*, SystemParamItem, SystemState},
 };
-use bevy_math::{Mat3A, Mat4, Vec2};
+use bevy_math::{Affine3, Affine3A, Mat4, Vec2, Vec3Swizzles, Vec4};
 use bevy_reflect::TypeUuid;
 use bevy_render::{
     globals::{GlobalsBuffer, GlobalsUniform},
-    gpu_component_array_buffer::GpuComponentArrayBufferPlugin,
     mesh::{
         skinning::{SkinnedMesh, SkinnedMeshInverseBindposes},
         GpuBufferInfo, InnerMeshVertexBufferLayout, Mesh, MeshVertexBufferLayout,
@@ -115,8 +114,6 @@ impl Plugin for MeshRenderPlugin {
         load_internal_asset!(app, SKINNING_HANDLE, "skinning.wgsl", Shader::from_wgsl);
         load_internal_asset!(app, MORPH_HANDLE, "morph.wgsl", Shader::from_wgsl);
 
-        app.add_plugins(GpuComponentArrayBufferPlugin::<MeshUniform>::default());
-
         if let Ok(render_app) = app.get_sub_app_mut(RenderApp) {
             render_app
                 .init_resource::<SkinnedMeshUniform>()
@@ -129,6 +126,7 @@ impl Plugin for MeshRenderPlugin {
                 .add_systems(
                     Render,
                     (
+                        prepare_mesh_uniforms.in_set(RenderSet::Prepare),
                         prepare_skinned_meshes.in_set(RenderSet::Prepare),
                         prepare_morphs.in_set(RenderSet::Prepare),
                         queue_mesh_bind_group.in_set(RenderSet::Queue),
@@ -151,7 +149,11 @@ impl Plugin for MeshRenderPlugin {
                 ));
             }
 
-            render_app.init_resource::<MeshPipeline>();
+            render_app
+                .insert_resource(GpuArrayBuffer::<MeshUniform>::new(
+                    render_app.world.resource::<RenderDevice>(),
+                ))
+                .init_resource::<MeshPipeline>();
         }
 
         // Load the mesh_bindings shader module here as it depends on runtime information about
@@ -166,14 +168,76 @@ impl Plugin for MeshRenderPlugin {
     }
 }
 
-#[derive(Component, ShaderType, Clone)]
-pub struct MeshUniform {
-    pub transform: Mat4,
-    pub previous_transform: Mat4,
-    pub inverse_transpose_model: Mat4,
+#[derive(Component)]
+pub struct MeshTransforms {
+    pub transform: Affine3,
+    pub previous_transform: Affine3,
     pub flags: u32,
 }
 
+#[derive(ShaderType, Clone)]
+pub struct MeshUniform {
+    // Affine 4x3 matrices transposed to 3x4
+    pub transform: [Vec4; 3],
+    pub previous_transform: [Vec4; 3],
+    // 3x3 matrix packed in mat2x4 and f32 as:
+    //   [0].xyz, [1].x,
+    //   [1].yz, [2].xy
+    //   [2].z
+    pub inverse_transpose_model_a: [Vec4; 2],
+    pub inverse_transpose_model_b: f32,
+    pub flags: u32,
+}
+
+impl From<&MeshTransforms> for MeshUniform {
+    fn from(mesh_transforms: &MeshTransforms) -> Self {
+        let transpose_model_3x3 = mesh_transforms.transform.matrix3.transpose();
+        let transpose_previous_model_3x3 = mesh_transforms.previous_transform.matrix3.transpose();
+        let inverse_transpose_model_3x3 = Affine3A::from(&mesh_transforms.transform)
+            .inverse()
+            .matrix3
+            .transpose();
+        Self {
+            transform: [
+                transpose_model_3x3
+                    .x_axis
+                    .extend(mesh_transforms.transform.translation.x),
+                transpose_model_3x3
+                    .y_axis
+                    .extend(mesh_transforms.transform.translation.y),
+                transpose_model_3x3
+                    .z_axis
+                    .extend(mesh_transforms.transform.translation.z),
+            ],
+            previous_transform: [
+                transpose_previous_model_3x3
+                    .x_axis
+                    .extend(mesh_transforms.previous_transform.translation.x),
+                transpose_previous_model_3x3
+                    .y_axis
+                    .extend(mesh_transforms.previous_transform.translation.y),
+                transpose_previous_model_3x3
+                    .z_axis
+                    .extend(mesh_transforms.previous_transform.translation.z),
+            ],
+            inverse_transpose_model_a: [
+                (
+                    inverse_transpose_model_3x3.x_axis,
+                    inverse_transpose_model_3x3.y_axis.x,
+                )
+                    .into(),
+                (
+                    inverse_transpose_model_3x3.y_axis.yz(),
+                    inverse_transpose_model_3x3.z_axis.xy(),
+                )
+                    .into(),
+            ],
+            inverse_transpose_model_b: inverse_transpose_model_3x3.z_axis.z,
+            flags: mesh_transforms.flags,
+        }
+    }
+}
+
 // NOTE: These must match the bit flags in bevy_pbr/src/render/mesh_types.wgsl!
 bitflags::bitflags! {
     #[repr(transparent)]
@@ -210,26 +274,25 @@ pub fn extract_meshes(
     for (entity, _, transform, previous_transform, handle, not_receiver, not_caster) in
         visible_meshes
     {
-        let transform = transform.compute_matrix();
+        let transform = transform.affine();
         let previous_transform = previous_transform.map(|t| t.0).unwrap_or(transform);
         let mut flags = if not_receiver.is_some() {
             MeshFlags::empty()
         } else {
             MeshFlags::SHADOW_RECEIVER
         };
-        if Mat3A::from_mat4(transform).determinant().is_sign_positive() {
+        if transform.matrix3.determinant().is_sign_positive() {
             flags |= MeshFlags::SIGN_DETERMINANT_MODEL_3X3;
         }
-        let uniform = MeshUniform {
+        let transforms = MeshTransforms {
+            transform: (&transform).into(),
+            previous_transform: (&previous_transform).into(),
             flags: flags.bits(),
-            transform,
-            previous_transform,
-            inverse_transpose_model: transform.inverse().transpose(),
         };
         if not_caster.is_some() {
-            not_caster_commands.push((entity, (handle.clone_weak(), uniform, NotShadowCaster)));
+            not_caster_commands.push((entity, (handle.clone_weak(), transforms, NotShadowCaster)));
         } else {
-            caster_commands.push((entity, (handle.clone_weak(), uniform)));
+            caster_commands.push((entity, (handle.clone_weak(), transforms)));
         }
     }
     *prev_caster_commands_len = caster_commands.len();
@@ -317,6 +380,29 @@ pub fn extract_skinned_meshes(
     commands.insert_or_spawn_batch(values);
 }
 
+fn prepare_mesh_uniforms(
+    mut commands: Commands,
+    render_device: Res<RenderDevice>,
+    render_queue: Res<RenderQueue>,
+    mut gpu_array_buffer: ResMut<GpuArrayBuffer<MeshUniform>>,
+    components: Query<(Entity, &MeshTransforms)>,
+) {
+    gpu_array_buffer.clear();
+
+    let entities = components
+        .iter()
+        .map(|(entity, mesh_transforms)| {
+            (
+                entity,
+                gpu_array_buffer.push(MeshUniform::from(mesh_transforms)),
+            )
+        })
+        .collect::<Vec<_>>();
+    commands.insert_or_spawn_batch(entities);
+
+    gpu_array_buffer.write_buffer(&render_device, &render_queue);
+}
+
 #[derive(Resource, Clone)]
 pub struct MeshPipeline {
     pub view_layout: BindGroupLayout,
diff --git a/crates/bevy_pbr/src/render/mesh.wgsl b/crates/bevy_pbr/src/render/mesh.wgsl
index 106ec54ae0..0755c6859e 100644
--- a/crates/bevy_pbr/src/render/mesh.wgsl
+++ b/crates/bevy_pbr/src/render/mesh.wgsl
@@ -3,7 +3,7 @@
 #import bevy_pbr::morph
 #import bevy_pbr::mesh_bindings       mesh
 #import bevy_pbr::mesh_vertex_output  MeshVertexOutput
-#import bevy_render::instance_index
+#import bevy_render::instance_index   get_instance_index
 
 struct Vertex {
     @builtin(instance_index) instance_index: u32,
@@ -66,8 +66,8 @@ fn vertex(vertex_no_morph: Vertex) -> MeshVertexOutput {
     var model = bevy_pbr::skinning::skin_model(vertex.joint_indices, vertex.joint_weights);
 #else
     // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
-    // See https://github.com/gfx-rs/naga/issues/2416
-    var model = mesh[bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)].model;
+    // See https://github.com/gfx-rs/naga/issues/2416 .
+    var model = mesh_functions::get_model_matrix(vertex_no_morph.instance_index);
 #endif
 
 #ifdef VERTEX_NORMALS
@@ -78,7 +78,7 @@ fn vertex(vertex_no_morph: Vertex) -> MeshVertexOutput {
         vertex.normal,
         // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
         // See https://github.com/gfx-rs/naga/issues/2416
-        bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)
+        get_instance_index(vertex_no_morph.instance_index)
     );
 #endif
 #endif
@@ -98,7 +98,7 @@ fn vertex(vertex_no_morph: Vertex) -> MeshVertexOutput {
         vertex.tangent,
         // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
         // See https://github.com/gfx-rs/naga/issues/2416
-        bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index)
+        get_instance_index(vertex_no_morph.instance_index)
     );
 #endif
 
@@ -109,7 +109,7 @@ fn vertex(vertex_no_morph: Vertex) -> MeshVertexOutput {
 #ifdef VERTEX_OUTPUT_INSTANCE_INDEX
     // Use vertex_no_morph.instance_index instead of vertex.instance_index to work around a wgpu dx12 bug.
     // See https://github.com/gfx-rs/naga/issues/2416
-    out.instance_index = bevy_render::instance_index::get_instance_index(vertex_no_morph.instance_index);
+    out.instance_index = get_instance_index(vertex_no_morph.instance_index);
 #endif
 
     return out;
diff --git a/crates/bevy_pbr/src/render/mesh_functions.wgsl b/crates/bevy_pbr/src/render/mesh_functions.wgsl
index 4b5d1da7bd..ff3a616335 100644
--- a/crates/bevy_pbr/src/render/mesh_functions.wgsl
+++ b/crates/bevy_pbr/src/render/mesh_functions.wgsl
@@ -3,6 +3,35 @@
 #import bevy_pbr::mesh_view_bindings  view
 #import bevy_pbr::mesh_bindings       mesh
 #import bevy_pbr::mesh_types          MESH_FLAGS_SIGN_DETERMINANT_MODEL_3X3_BIT
+#import bevy_render::instance_index   get_instance_index
+
+fn affine_to_square(affine: mat3x4<f32>) -> mat4x4<f32> {
+    return transpose(mat4x4<f32>(
+        affine[0],
+        affine[1],
+        affine[2],
+        vec4<f32>(0.0, 0.0, 0.0, 1.0),
+    ));
+}
+
+fn mat2x4_f32_to_mat3x3_unpack(
+    a: mat2x4<f32>,
+    b: f32,
+) -> mat3x3<f32> {
+    return mat3x3<f32>(
+        a[0].xyz,
+        vec3<f32>(a[0].w, a[1].xy),
+        vec3<f32>(a[1].zw, b),
+    );
+}
+
+fn get_model_matrix(instance_index: u32) -> mat4x4<f32> {
+    return affine_to_square(mesh[get_instance_index(instance_index)].model);
+}
+
+fn get_previous_model_matrix(instance_index: u32) -> mat4x4<f32> {
+    return affine_to_square(mesh[get_instance_index(instance_index)].previous_model);
+}
 
 fn mesh_position_local_to_world(model: mat4x4<f32>, vertex_position: vec4<f32>) -> vec4<f32> {
     return model * vertex_position;
@@ -28,10 +57,9 @@ fn mesh_normal_local_to_world(vertex_normal: vec3<f32>, instance_index: u32) ->
     // unless you really know what you are doing.
     // http://www.mikktspace.com/
     return normalize(
-        mat3x3<f32>(
-            mesh[instance_index].inverse_transpose_model[0].xyz,
-            mesh[instance_index].inverse_transpose_model[1].xyz,
-            mesh[instance_index].inverse_transpose_model[2].xyz
+        mat2x4_f32_to_mat3x3_unpack(
+            mesh[instance_index].inverse_transpose_model_a,
+            mesh[instance_index].inverse_transpose_model_b,
         ) * vertex_normal
     );
 }
diff --git a/crates/bevy_pbr/src/render/mesh_types.wgsl b/crates/bevy_pbr/src/render/mesh_types.wgsl
index f8a775cc8f..9b50336473 100644
--- a/crates/bevy_pbr/src/render/mesh_types.wgsl
+++ b/crates/bevy_pbr/src/render/mesh_types.wgsl
@@ -1,9 +1,17 @@
 #define_import_path bevy_pbr::mesh_types
 
 struct Mesh {
-    model: mat4x4<f32>,
-    previous_model: mat4x4<f32>,
-    inverse_transpose_model: mat4x4<f32>,
+    // Affine 4x3 matrices transposed to 3x4
+    // Use bevy_pbr::mesh_functions::affine_to_square to unpack
+    model: mat3x4<f32>,
+    previous_model: mat3x4<f32>,
+    // 3x3 matrix packed in mat2x4 and f32 as:
+    // [0].xyz, [1].x,
+    // [1].yz, [2].xy
+    // [2].z
+    // Use bevy_pbr::mesh_functions::mat2x4_f32_to_mat3x3_unpack to unpack
+    inverse_transpose_model_a: mat2x4<f32>,
+    inverse_transpose_model_b: f32,
     // 'flags' is a bit field indicating various options. u32 is 32 bits so we have up to 32 options.
     flags: u32,
 };
diff --git a/crates/bevy_pbr/src/render/wireframe.wgsl b/crates/bevy_pbr/src/render/wireframe.wgsl
index 2b4f112608..d44842b0b2 100644
--- a/crates/bevy_pbr/src/render/wireframe.wgsl
+++ b/crates/bevy_pbr/src/render/wireframe.wgsl
@@ -1,6 +1,5 @@
 #import bevy_pbr::mesh_bindings    mesh
-#import bevy_pbr::mesh_functions   mesh_position_local_to_clip
-#import bevy_render::instance_index
+#import bevy_pbr::mesh_functions   get_model_matrix, mesh_position_local_to_clip
 
 #ifdef SKINNED
     #import bevy_pbr::skinning
@@ -24,7 +23,7 @@ fn vertex(vertex: Vertex) -> VertexOutput {
 #ifdef SKINNED
     let model = bevy_pbr::skinning::skin_model(vertex.joint_indexes, vertex.joint_weights);
 #else
-    let model = mesh[bevy_render::instance_index::get_instance_index(vertex.instance_index)].model;
+    let model = get_model_matrix(vertex_no_morph.instance_index);
 #endif
 
     var out: VertexOutput;
diff --git a/crates/bevy_pbr/src/wireframe.rs b/crates/bevy_pbr/src/wireframe.rs
index 1a6757abfe..cefb2c83d3 100644
--- a/crates/bevy_pbr/src/wireframe.rs
+++ b/crates/bevy_pbr/src/wireframe.rs
@@ -1,5 +1,5 @@
-use crate::MeshPipeline;
 use crate::{DrawMesh, MeshPipelineKey, MeshUniform, SetMeshBindGroup, SetMeshViewBindGroup};
+use crate::{MeshPipeline, MeshTransforms};
 use bevy_app::Plugin;
 use bevy_asset::{load_internal_asset, Handle, HandleUntyped};
 use bevy_core_pipeline::core_3d::Opaque3d;
@@ -121,14 +121,14 @@ fn queue_wireframes(
         Query<(
             Entity,
             &Handle<Mesh>,
-            &MeshUniform,
+            &MeshTransforms,
             &GpuArrayBufferIndex<MeshUniform>,
         )>,
         Query<
             (
                 Entity,
                 &Handle<Mesh>,
-                &MeshUniform,
+                &MeshTransforms,
                 &GpuArrayBufferIndex<MeshUniform>,
             ),
             With<Wireframe>,
@@ -142,10 +142,10 @@ fn queue_wireframes(
         let rangefinder = view.rangefinder3d();
 
         let view_key = msaa_key | MeshPipelineKey::from_hdr(view.hdr);
-        let add_render_phase = |(entity, mesh_handle, mesh_uniform, batch_indices): (
+        let add_render_phase = |(entity, mesh_handle, mesh_transforms, batch_indices): (
             Entity,
             &Handle<Mesh>,
-            &MeshUniform,
+            &MeshTransforms,
             &GpuArrayBufferIndex<MeshUniform>,
         )| {
             if let Some(mesh) = render_meshes.get(mesh_handle) {
@@ -164,7 +164,8 @@ fn queue_wireframes(
                     entity,
                     pipeline: pipeline_id,
                     draw_function: draw_custom,
-                    distance: rangefinder.distance(&mesh_uniform.transform),
+                    distance: rangefinder
+                        .distance_translation(&mesh_transforms.transform.translation),
                     per_object_binding_dynamic_offset: batch_indices
                         .dynamic_offset
                         .unwrap_or_default(),
diff --git a/crates/bevy_render/src/primitives/mod.rs b/crates/bevy_render/src/primitives/mod.rs
index fc447a90cf..2cb067ded1 100644
--- a/crates/bevy_render/src/primitives/mod.rs
+++ b/crates/bevy_render/src/primitives/mod.rs
@@ -1,5 +1,5 @@
 use bevy_ecs::{component::Component, prelude::Entity, reflect::ReflectComponent};
-use bevy_math::{Mat4, Vec3, Vec3A, Vec4, Vec4Swizzles};
+use bevy_math::{Affine3A, Mat3A, Mat4, Vec3, Vec3A, Vec4, Vec4Swizzles};
 use bevy_reflect::Reflect;
 use bevy_utils::HashMap;
 
@@ -26,13 +26,13 @@ impl Aabb {
 
     /// Calculate the relative radius of the AABB with respect to a plane
     #[inline]
-    pub fn relative_radius(&self, p_normal: &Vec3A, axes: &[Vec3A]) -> f32 {
+    pub fn relative_radius(&self, p_normal: &Vec3A, model: &Mat3A) -> f32 {
         // NOTE: dot products on Vec3A use SIMD and even with the overhead of conversion are net faster than Vec3
         let half_extents = self.half_extents;
         Vec3A::new(
-            p_normal.dot(axes[0]),
-            p_normal.dot(axes[1]),
-            p_normal.dot(axes[2]),
+            p_normal.dot(model.x_axis),
+            p_normal.dot(model.y_axis),
+            p_normal.dot(model.z_axis),
         )
         .abs()
         .dot(half_extents)
@@ -67,16 +67,11 @@ pub struct Sphere {
 
 impl Sphere {
     #[inline]
-    pub fn intersects_obb(&self, aabb: &Aabb, local_to_world: &Mat4) -> bool {
-        let aabb_center_world = *local_to_world * aabb.center.extend(1.0);
-        let axes = [
-            Vec3A::from(local_to_world.x_axis),
-            Vec3A::from(local_to_world.y_axis),
-            Vec3A::from(local_to_world.z_axis),
-        ];
-        let v = Vec3A::from(aabb_center_world) - self.center;
+    pub fn intersects_obb(&self, aabb: &Aabb, local_to_world: &Affine3A) -> bool {
+        let aabb_center_world = local_to_world.transform_point3a(aabb.center);
+        let v = aabb_center_world - self.center;
         let d = v.length();
-        let relative_radius = aabb.relative_radius(&(v / d), &axes);
+        let relative_radius = aabb.relative_radius(&(v / d), &local_to_world.matrix3);
         d < self.radius + relative_radius
     }
 }
@@ -195,17 +190,11 @@ impl Frustum {
     pub fn intersects_obb(
         &self,
         aabb: &Aabb,
-        model_to_world: &Mat4,
+        model_to_world: &Affine3A,
         intersect_near: bool,
         intersect_far: bool,
     ) -> bool {
         let aabb_center_world = model_to_world.transform_point3a(aabb.center).extend(1.0);
-        let axes = [
-            Vec3A::from(model_to_world.x_axis),
-            Vec3A::from(model_to_world.y_axis),
-            Vec3A::from(model_to_world.z_axis),
-        ];
-
         for (idx, half_space) in self.half_spaces.into_iter().enumerate() {
             if idx == 4 && !intersect_near {
                 continue;
@@ -214,7 +203,7 @@ impl Frustum {
                 continue;
             }
             let p_normal = half_space.normal();
-            let relative_radius = aabb.relative_radius(&p_normal, &axes);
+            let relative_radius = aabb.relative_radius(&p_normal, &model_to_world.matrix3);
             if half_space.normal_d().dot(aabb_center_world) + relative_radius <= 0.0 {
                 return false;
             }
diff --git a/crates/bevy_render/src/render_phase/rangefinder.rs b/crates/bevy_render/src/render_phase/rangefinder.rs
index 797782b9cc..40e75183c8 100644
--- a/crates/bevy_render/src/render_phase/rangefinder.rs
+++ b/crates/bevy_render/src/render_phase/rangefinder.rs
@@ -1,4 +1,4 @@
-use bevy_math::{Mat4, Vec4};
+use bevy_math::{Mat4, Vec3, Vec4};
 
 /// A distance calculator for the draw order of [`PhaseItem`](crate::render_phase::PhaseItem)s.
 pub struct ViewRangefinder3d {
@@ -15,6 +15,14 @@ impl ViewRangefinder3d {
         }
     }
 
+    /// Calculates the distance, or view-space `Z` value, for the given `translation`.
+    #[inline]
+    pub fn distance_translation(&self, translation: &Vec3) -> f32 {
+        // NOTE: row 2 of the inverse view matrix dotted with the translation from the model matrix
+        // gives the z component of translation of the mesh in view-space
+        self.inverse_view_row_2.dot(translation.extend(1.0))
+    }
+
     /// Calculates the distance, or view-space `Z` value, for the given `transform`.
     #[inline]
     pub fn distance(&self, transform: &Mat4) -> f32 {
diff --git a/crates/bevy_render/src/view/visibility/mod.rs b/crates/bevy_render/src/view/visibility/mod.rs
index 0e99f1cc09..9a58b4ada7 100644
--- a/crates/bevy_render/src/view/visibility/mod.rs
+++ b/crates/bevy_render/src/view/visibility/mod.rs
@@ -392,7 +392,7 @@ pub fn check_visibility(
 
                 // If we have an aabb and transform, do frustum culling
                 if maybe_no_frustum_culling.is_none() {
-                    let model = transform.compute_matrix();
+                    let model = transform.affine();
                     let model_sphere = Sphere {
                         center: model.transform_point3a(model_aabb.center),
                         radius: transform.radius_vec3a(model_aabb.half_extents),
diff --git a/examples/shader/shader_instancing.rs b/examples/shader/shader_instancing.rs
index 389427f9ee..925c0c14d3 100644
--- a/examples/shader/shader_instancing.rs
+++ b/examples/shader/shader_instancing.rs
@@ -6,7 +6,7 @@ use bevy::{
         query::QueryItem,
         system::{lifetimeless::*, SystemParamItem},
     },
-    pbr::{MeshPipeline, MeshPipelineKey, MeshUniform, SetMeshBindGroup, SetMeshViewBindGroup},
+    pbr::{MeshPipeline, MeshPipelineKey, MeshTransforms, SetMeshBindGroup, SetMeshViewBindGroup},
     prelude::*,
     render::{
         extract_component::{ExtractComponent, ExtractComponentPlugin},
@@ -113,7 +113,7 @@ fn queue_custom(
     mut pipelines: ResMut<SpecializedMeshPipelines<CustomPipeline>>,
     pipeline_cache: Res<PipelineCache>,
     meshes: Res<RenderAssets<Mesh>>,
-    material_meshes: Query<(Entity, &MeshUniform, &Handle<Mesh>), With<InstanceMaterialData>>,
+    material_meshes: Query<(Entity, &MeshTransforms, &Handle<Mesh>), With<InstanceMaterialData>>,
     mut views: Query<(&ExtractedView, &mut RenderPhase<Transparent3d>)>,
 ) {
     let draw_custom = transparent_3d_draw_functions.read().id::<DrawCustom>();
@@ -123,7 +123,7 @@ fn queue_custom(
     for (view, mut transparent_phase) in &mut views {
         let view_key = msaa_key | MeshPipelineKey::from_hdr(view.hdr);
         let rangefinder = view.rangefinder3d();
-        for (entity, mesh_uniform, mesh_handle) in &material_meshes {
+        for (entity, mesh_transforms, mesh_handle) in &material_meshes {
             if let Some(mesh) = meshes.get(mesh_handle) {
                 let key =
                     view_key | MeshPipelineKey::from_primitive_topology(mesh.primitive_topology);
@@ -134,7 +134,8 @@ fn queue_custom(
                     entity,
                     pipeline,
                     draw_function: draw_custom,
-                    distance: rangefinder.distance(&mesh_uniform.transform),
+                    distance: rangefinder
+                        .distance_translation(&mesh_transforms.transform.translation),
                 });
             }
         }