Geometry and TrigonometryMediumEqual volumes, unknown height
Geometry and Trigonometry practice question
A cube with edges of length 6 has the same volume as a rectangular box with a base measuring 4 by 9. What is the height of the box?
Answer: 6
Cube volume: 6³ = 216. Box volume: 4 × 9 × h = 36h. Set 36h = 216: h = 6.
Common wrong answers
- If you answered 2
- 2 is 6² / 18 or a similar slip; the cube's volume is 6³ = 216, and 216 / 36 = 6.
- If you answered 18
- 18 is 216 / 12, dividing by 4 + 9 + ... The base AREA is 4 × 9 = 36, not 12.
- If you answered 36
- 36 is the base area of the box, not its height.
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