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Question

The base of a prism is a right-angled triangle having its base and altitude as 10 cm and 24 cm, respectively. If the height of prism is 30 cm, what will be the lateral surface area?

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Solution

Base of the prism is right-angled triangle having base and altitude as 10 cm and 24 cm respectively.

Third side of the triangle will be equal to

102+242=676=26 cm [1 mark]

Lateral surface area will be the area of three rectangles formed.

Area = 10×30+24×30+26×30

=30(10+24+26)

=30×60

=1,800 cm2 [1 mark]


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Lateral Surface Area of a Prism
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