Cube Stacker Volume
Length × width × height
Stack a 4 by 3 by 2 prism from unit cubes and see why each layer has 12 cubes.
What this game shows · Volume by Stacking
Volume measures how many unit cubes fit inside a 3-D shape. Stack a base layer of L × W cubes, then stack H layers — and the formula V = L × W × H reads itself off the construction.
- Base area
- L × W — the number of cubes in one layer.
- Height
- H — the number of identical layers stacked.
- Volume
- V = L × W × H. Units are cubic (cm³, m³).
Aligned with CCSS 5.MD.C.3 (recognize volume as an attribute of solid figures).
Cube stacker
Volume grows by repeating the base layer.
Volume, stacked.
01 Why does V = L × W × H? Layers × area
Each layer is L × W cubes (the base area). Stack H identical layers and you get H × (L × W) = L × W × H total cubes.
02 Why are volume units cubic? cm³
Because volume is the product of three lengths. Each length contributes one factor of "cm," so the units are cm × cm × cm = cm³.
03 How does this connect to area and length? 1-D / 2-D / 3-D
Length is 1-D (cm). Area is 2-D (cm²). Volume is 3-D (cm³). Each new dimension multiplies by another length.
04 Which grade is this game for? Grade 5
Grade 5, aligned with CCSS 5.MD.C.3. Foundation for surface area, density, and capacity in Grade 6.