Geometry and TrigonometryVery hardVolume of a box from its three face areas
Geometry and Trigonometry practice question
A rectangular box has faces with areas 6, 8, and 12 square units (one of each size on opposite pairs of faces). What is the volume of the box, in cubic units?
Answer: 24
If the edges are a, b, c, then ab = 6, bc = 8, ac = 12, so (abc)² = 576 and abc = 24.
Common wrong answers
- If you answered 26
- 26 adds the three areas.
- If you answered 48
- 48 doubles the volume.
- If you answered 576
- 576 is the square of the volume.
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