Cube Builder

What your child will figure out

• Count visible unit cubes in a complete rectangular prism and state its volume in cubic units.
• Use equal layers to connect cubes per layer × number of layers with length × width × height.
• Build a solid from three specified dimensions and compute its volume without counting cubes one by one.
• Transfer the formula by changing dimensions to fill a target volume, then solve generated adaptive volume builds.

The levels

1. Count the cargo

   Predict 8 cubic units for a 2 × 2 × 2 solid, scan all cubes, observe two equal layers, and explain that each cube contributes one cubic unit.

2. Switch on layer scan

   Predict 12 for a 3 × 2 × 2 solid and use two layers of six as visible evidence.

3. Build from a blueprint

   Set 4 × 2 × 3, compute 24, and explain why multiplying all three dimensions counts every cube.

4. Fill the launch crate

   Transfer the volume relationship by constructing any rectangular prism with target volume 24 and explaining why its dimensions work.