Advanced MathHardCube whose volume is a multiple of its surface area
Advanced Math practice question
A cube's volume, in cubic units, is numerically equal to 6 times its surface area, in square units. What is the side length of the cube?
Answer: 36
s³ = 6(6s²) = 36s² → s = 36 (dividing by s², since s > 0).
Common wrong answers
- If you answered 6
- 6 forgets the factor 6 in the surface area formula, solving s³ = 6s².
- If you answered 12
- 12 is 6 + 6, adding the two sixes instead of multiplying.
- If you answered 216
- 216 is 6³, cubing the multiplier.
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