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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, is
  1. 144 cm3

  2. 169 cm3

  3. 64 cm3

  4. 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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