Geometry and TrigonometryMediumVolume of a box built from a square base
Geometry and Trigonometry practice question
A square-based box has a base with a perimeter of 28 centimetres and a height of 2 centimetres. What is its volume, in cubic centimetres?
Answer: 98
The base side is 28/4 = 7 cm, so the base area is 49 cm². Volume: 49 × 2 = 98.
Common wrong answers
- If you answered 14
- 14 is the side times the height, not a volume.
- If you answered 56
- 56 multiplies the perimeter by the height instead of the area.
- If you answered 392
- 392 uses 14 as the side (halving the perimeter instead of quartering it).
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