The perimeter of the triangular base of a right prism is

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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 60 cm). ?

1. 6000 cm³
2. 6600 cm³
3. 5400 cm³
4. 9600 cm³

Correct Option: A

Let the sides of the base are 5k, 12k and 13k, respectively.
Given, perimeter of base = 60 cm
⇒ 5k + 12k + 13k = 60
∴ k = 60/30 = 2
The sides of base are 10 cm, 24 cm 26 cm.
∴ Volume of prism = (1/2) x 10 x 24 x 50 = 6000 cm³