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Question

The base of a prism is a rectangle having sides 5 cm and 12 cm respectively. The height of the prism is 18 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the total surface area of each of the triangular prism?


A
400 cm2
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B
800 cm2
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C
1200 cm2
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D
600 cm2
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Solution

The correct option is D 600 cm2

Base of the prism has length and breadth as 12 cm and 5 cm respectively.

Diagonal of the base

= 52+122=13 cm

Total surface area of each triangular prism thus formed

= Lateral surface area + Area of the two triangular faces

= Area of three rectangles + Area of the two triangular faces

=(12×18+5×18+13×18)+2×12×5×12

=18(12+5+13)+5×12

=18×30+60

=540+60

=600 cm2


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