Exams › SSC CGL (Prelims) › General

If the side of a cube is tripled, what is the ratio of the new total surface area to the original total surface area, and the ratio of the new volume to the original volume?

1. 9:1 and 27:1
2. 6:1 and 9:1
3. 3:1 and 9:1
4. 9:1 and 3:1

Correct answer: 9:1 and 27:1

Solution

For a cube, total surface area is proportional to side² and volume is proportional to side³. Tripling the side makes the surface area 3² = 9 times and the volume 3³ = 27 times.

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