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Question 26

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 cubic cm) is
a) 192
b) 384
c) 480
d) 2592


Solution

Since, the solid has rectangular faces
So, we have   l×b=16    ..... (i)
b×h=32   ...... (ii)
l×h=72   ....... (iii)
where l, b and h are the length, breadth and height respectively of the solid
On multiplying Eqs. (i), (ii) and (iii), we get
l×b×b×h×l×h=16×32×72l2×b2×h2=36864(lbh)2=36864lbh=192
Hence, the volume of the solid is 192 cu cm.


Mathematics

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