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The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the cuboid is:
A48 cm³
B24 cm³
C64 cm³
D120 cm³
Answer & Solution
Correct answer: A. 48 cm³
1. Let edges be x, 2x, 3x. Surface area = 2(x·2x + 2x·3x + x·3x) = 2(11x²) = 22x².
2. Set 22x² = 88, so x² = 4 and x = 2.
3. Volume = x·2x·3x = 6x³ = 6×8 = 48 cm³.
_Source: RRB Group D (RRC) PYQ, held 27-10-2013, Q.67._
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