SSC Government Jobs Exams Numerical Ability Area and Volume

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)

Read Solution (Total 1)

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
10 years agoHelpfull: Yes(1) No(0)

SSC Other Question

The area of a trapezium is 384 cm2. IF its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm, the smaller of the parallel sides is If the length of a rectangular parallelepiped is 3 times of its breadth and 5 times of its height and its volume is 144400 cu.cm, then area of the total surface will be