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Question 24
The base of a right prism is a triangle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 $$cm^3$$, then its lateral surface area (in $$cm^2$$) is:
Solution
By triplet 20-21-29,
Base = 20,
height = 21
Base area =Â $$\frac{1}{2}\times 20 \times 21 = 210
Volume = $$base area \times h$$
7560 =Â $$210 \times h$$
h = 36 cm
Lateral surface area = perimeter $$\times$$ h = (20 + 21 +Â 29)Â $$\times$$ 36
=Â 70 $$\times$$ 36 = 2520$$^2$$ cm
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