Advanced MathHardBase side of a box from a cubic volume equation
Advanced Math practice question
A box has a square base of side s units and a height of s + 2 units. Its volume is 45 cubic units. What is the value of s?
Answer: 3
s²(s + 2) = 45. Trying s = 3: 9 × 5 = 45. ✓ (s = 2 gives 16 and s = 4 gives 96, so 3 is the only positive solution.)
Common wrong answers
- If you answered 5
- 5 is the height, s + 2.
- If you answered 45
- 45 is the volume.
- If you answered 6.7
- 6.7 is √45, treating the volume as s² alone.
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