Question

# The surface areas of six faces of a cuboid are 12, 12, 36, 36, 48, 48, (all in cm2). The volume of the solid in cm3, is144 cm3 169 cm3 64 cm3 216 cm3

Solution

## The correct option is A 144 cm3 Let the dimension of a cuboid be l, b, and h. Since the six surface areas are given: ⇒  l × b = 12.......................................(1) ⇒  b × h = 36.......................................(2) ⇒  l × h = 48.......................................(3) Now multiplying equation (1),(2) and (3), we get ⇒ (l × b) × (b × h) × (l × h) = 12 × 36 × 48 ⇒ (l×b×h)2 = 20736 ⇒(l×b×h)=√20736=144cm3 Since volume of a cuboid is given by: V=(l×b×h)=144cm3 So the correct answer is Option A.

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