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 $