Question

The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 sq cm. The volume of the solid (in cu cm) is 

(a) 192     (b) 384     (c) 480    (d) 2592

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Answer 1

The correct answer is option (a) 192

Explanation: It is given that, the solid has a rectangular faces, hence,

lb=16 …(1)

bh = 32 ….(2)

lh = 72 …(3)

Multiply the equations (1), (2), (3), we will get

(l)2(b) 2 (h) 2 = (16)(32)(72) = 36864

lbh = 192

Therefore, the volume of a solid is 192 cubic centimetre.