Question:
The surface areas of the six faces of a rectangular solid are 16, 16, 32, 32, 72 and 72 square centimetres. The volume of the solid, in cubic centimetres, is
(a) 192
(b) 384
(c) 480
(d) 2592
Solution:
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.