Learning goals
- Length × width gives the number of cubes in one layer.
- Height tells how many equal layers are stacked.
- Volume counts all unit cubes, including the hidden ones inside the prism.
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).
Unit Cubes & Volume
Fill a box with unit cubes: count one layer, stack the layers, and volume V = base area × height.
- Per layer
- 12 cubes
- Layers
- 2
- Base area
- 12
- Volume
- 24 cubes
V = base 12 × height 2 = 24
Geometry and measurement model
Who this demo helps, and where to practice next
Cube Stacker Volume is built for students who memorize formulas before seeing the shape decomposition. It gives the page a clear search purpose: learn the model, manipulate it, then continue into the matching grade-level practice.
Cube Stacker Volume helps when a student can copy a procedure but cannot explain why it works. The demo slows the idea down into a visible model before sending the learner to guided missions.
How to play
- 1 Identify the shape pieces before calculating.
- 2 Drag or replay the model until the formula can be described from the picture.
- 3 Open the related geometry topic when the student can explain area, perimeter, or surface area in units.
Continue with guided practice
FAQ
Tap to expand 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.