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Question

# Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m. The rectangular prism has a height of 34 m. What is its lateral surface area?

A
2962 m2
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B
2972 m2
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C
2992 m2
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D
2982 m2
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Solution

## The correct option is C 2992 m2Let perimeter of the base = P and height = H. Lateral surface area = Perimeter of the base × Height = P × H ................(1) Base perimeter of the rectangular prism = 2 × ( Right triangle's height + Right triangle's base length ) = 2×(29+15) = 2×44 = 88 m ⇒ Lateral surface area = 88×34 = 2992 m2

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