The edges of a cubiod are in ratio 1 : 2 : 3 and its surface area of 88 cm². The volume of the cuboid is-

  1. 120 cm³
  2. 64  cm³
  3. 48  cm³
  4. 24 cm³
Anurag Mishra Professor Asked on 22nd January 2016 in Maths.
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1 Answer(s)

Answer: (3) 48 cm3

Explanation:-

Given:-
The ratio of the ages of cuboid = 1: 2: 3

Let the ages of the cuboid are X, 2 X and 3 X

Then,
2(X x 2X + 3 X x 2 X + 3 X x X) = 88
2(2X2 + 6X2 + 3 X2) = 88
2 x 11 X2 = 88
X2 = 88/22
X2 = 4
Square root on both side,
X = 2

Then, the ages of cuboid are X = 2, 2 X = 2 x 2 = 4  &  3 X = 2 x 3 = 6 cm

So, the volume of the cuboid = 2 x 4 x 6
 = 48 cm3

Hence, the correct answer is option (3) 48 cm3. 

Anurag Mishra Professor Answered on 22nd January 2016.
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