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SSC CGL Tier 2 Exam 21 Sep 2014 Paper
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© examsnet.com
Question : 9
Total: 100
The base of a right prism is an equilateral triangle. If the lateral surface area and volume is 120 cm
2
and
40
√
3
cm
3
respectively then the side of base of the prism is
4 cm
5 cm
7 cm
40 cm
Validate
Solution:
(1) Lateral surface area of prism = 3 × side × height
∴ 3 × side × height = 120
⇒ Side × height =
120
3
= 40 sq.cm. ...(i)
Volume of prism = Area of base × height
⇒
40
√
3
=
√
3
4
×
side
2
×
height
⇒
40
√
3
×
4
√
3
=
side
2
×
height
⇒
side
2
×
height
= 160 cu.cm ...(ii)
Dividing equation (ii) by (i),
Side
=
160
40
=
4
c
m
© examsnet.com
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