Geometry and TrigonometryEasyCounting unit cubes in a box
Geometry and Trigonometry practice question
A box has inside dimensions of 2 centimetres by 3 centimetres by 7 centimetres. What is the greatest number of 1-centimetre cubes that can fit inside the box?
Answer: 42
Cubes with 1-centimetre edges fill the box exactly: 2 × 3 × 7 = 42 cubes, the box's volume in cubic centimetres.
Common wrong answers
- If you answered 12
- 12 is 2 + 3 + 7, the sum of the dimensions. Volume is the product.
- If you answered 21
- 21 is 3 × 7, one layer. There are 2 such layers.
- If you answered 82
- 82 is the box's SURFACE area, 2(6 + 14 + 21). The number of cubes fills the inside, which is the volume.
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