Let the sides of the triangle be 5x, 12x and 13x. So, perimeter ⇒ 5x +12x +13x = 60 x = 2 So, side of triangle = 10, 24 and 26 Area of Triangle = √S(s−a)(s−b)(s−c) S =
a+b+c
2
=
10+24+26
2
= 30 Area of triangle = √30(30−10)(30−24)(30−26) = √30×20×6×4 = √14400 = 120 cm Volume of the prism = (Area of base) × Height = 120 × 50 = 6,000 cm3