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Question

A solid rectangle has length, breadth and height as 15 cm, 8 cm, and 20 cm, respectively. It is cut into two triangular prisms along the diagonal as shown in the figure. Find the total surface area of each prism.


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Solution

The rectangular figure is cut along its diagonal. Hence, the third side of the triangle formed at the base can be calculated as:

AC=(8)2+(15)2

AC=64+225

AC=289

AC=17cm

Total surface area of each triangular prism
= Lateral Surface Area + 2× Base area

Lateral Surface Area = Height× Base Perimeter =20(8+15+17)cm2

Total Surface Area =20(8+15+17)+8×15

=20×40+120

=800+120

=920 cm2

Total surface area of each triangular prism =920 cm2


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