Volume by counting unit cubes

The question
cm³

Each small cube is 1 cm³. How many cubes make this solid?

Counting unit cubes

How it works.

2 along×2 back=4
one layer=4 cubes
4×5 layers=20
2 × 2 × 5=20 cubic cm
  1. 01

    Start with one layer — the cubes lying flat on the bottom. There are 2 along the front and 2 going back.

  2. 02

    So one layer is 4 cubes.

  3. 03

    Now count the layers stacked up: there are 5. Each one holds the same 4 cubes, so multiply.

  4. 04

    That is 2 × 2 × 5 — the three directions of the block. The volume is 20 cubic cm.