Quantitative Aptitude Ques 219

Question: The base of a right prism is a right angled triangle whose sides are 5 cm, 12 cm and 13 cm. If the area of the total surface of the prism is $ 360,cm^{2}, $ then its height (in cm) is

Options:

A) 9

B) 11

C) 10

D) 12

Show Answer

Answer:

Correct Answer: C

Solution:

  • Total surface area of the prism $ =360,cm^{2} $

$ \Rightarrow $ Surface area of the prism + 2 (Area of the base) = 360

$ \Rightarrow $ $ (5+12+13)\times h+2( \frac{1}{2}\times 5\times 12 )=360 $

$ \Rightarrow $ $ 30h+60=360,\Rightarrow ,30h=300 $

$ \Rightarrow $ $ h=10,cm $

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