Geometry and TrigonometryVery hardPercent change in volume from a longer edge
Geometry and Trigonometry practice question
The edge length of a cube is increased by 50%. By what percent does the volume of the cube increase?
Answer: 237.5
Volume scales by 1.5³ = 3.375, an increase of 237.5%.
Common wrong answers
- If you answered 50
- 50 assumes volume grows by the same percent as the edge.
- If you answered 150
- 150 uses 1.5² − 1, the area increase, and mislabels it.
- If you answered 337.5
- 337.5 is the new volume as a percent of the old, not the increase.
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