Exams › SSC CGL (Prelims) › General

A cuboid has a total surface area of 468 cm^2, with its length, breadth, and height in the ratio 2:3:4. Find its volume.

1. 480 cm^3
2. 648 cm^3
3. 512 cm^3
4. 528 cm^3

Correct answer: 648 cm^3

Solution

Let the sides be 2x, 3x, 4x. Surface area = 2(6x^2 + 12x^2 + 8x^2) = 52x^2 = 468, giving x^2 = 9, x = 3. Volume = (2x)(3x)(4x) = 24x^3 = 24*27 = 648 cm^3.

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