If S is the total surface area of a cube and V is its volume, then whi – InterviewSolution

1.

If S is the total surface area of a cube and V is its volume, then which of the following is correct ? (a) V3 = 216 S2 (b) S3 = 216 V2 (c) S3 = 6V2 (d) S2 = 36 V3

Answer»

(b) S³= 216 V²

Let the side of the cube be x units. Then,

S = 6x² and V = x³

∴ S³ = 6³ . (x²)³ = 6³ . (x³)² = 216 V².

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