Geometry and TrigonometryMediumChange in a cube's surface area
Geometry and Trigonometry practice question
The edge of a cube is increased from 2 centimetres to 3 centimetres. By how many square centimetres does the cube's total surface area increase?
Answer: 30
Surface area is 6 × edge². Before: 6 × 4 = 24. After: 6 × 9 = 54. Increase: 54 − 24 = 30.
Common wrong answers
- If you answered 6
- 6 is the increase in ONE face's area (9 − 4); a cube has six faces.
- If you answered 19
- 19 is the increase in VOLUME (27 − 8), not surface area.
- If you answered 54
- 54 is the new surface area, not the increase.
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