Quantitative Aptitude Ques 1566

Question: 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)

Options:

A) $ 6000cm^{3} $

B) $ 6600cm^{3} $

C) $ 5400cm^{3} $

D) $ 9600cm^{3} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the sides of the base are $ 5x, $ $ 12x $ and $ 13x $ respectively. Given, perimeter of base = 60 cm

$ \Rightarrow $ $ 5x+12x+13x=60 $

$ \therefore $ $ x=\frac{60}{30}=2 $ The sides of base are $ 10cm, $ $ 24cm $ and $ 26cm. $

$ \therefore $ Volume of prism $ =\frac{1}{2}\times 10\times 24\times 50=6000cm^{3} $