Latest SSC Aptitude Question SOLUTION: The perimeter of the triangular base of a right prism is 60 cm and the sides of the base are in the ratio 5 : 12 : 13. Then its volume will be (height of the prism being 50 cm)

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(#M40025772) SSC Numerical Ability question CGL Tier 2 Quant Keep an EYE

The perimeter of the triangular base of a right prism is 60 cm and the sides of the base are in the ratio 5 : 12 : 13. Then its volume will be (height of the prism being 50 cm)

Asked In SSC Rats (11 years ago)

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Sudipta Kumar Banerjee  (9 years ago)

Let the side of the base are 5x,12x, 13x
So, 5x + 12x + 13x =60
or, x = 2
Hence the side of the base are 10cm, 24cm, 26cm
Now the area of the base = root[s(s-a)(s-b)(s-c)] where s=(a+b+c)/2
=root[30(30-10)(30-24)(30-26) = root[30 * 20 * 6 * 4]
=root[10 * 3 * 2 *10 *3 * 2 *2 *2 ]
=10 * 3 *2 * 2 = 120 sq cm

Now Vol of the prism = 120 * 50 cc = 6000 cc

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