Question : The base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is:
Option 1: 180 cm2
Option 2: 234 cm2
Option 3: 288 cm2
Option 4: 270 cm2
Correct Answer: 288 cm 2
Solution :
Given that the base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, 15 cm and the height of the prism is 5 cm.
The total surface area of a prism = 2 × The area of the base + The perimeter of the base × The height of the prism
The area of the base = $\frac{1}{2}$ × 9 × 12 = 54 cm
2
The perimeter of the base = 9 + 12 + 15 = 36 cm
The total surface area of a prism = 2 × 54 cm
2
+ 36 cm × 5 cm = 108 cm
2
+ 180 cm
2
= 288 cm
2
Hence, the correct answer is 288 cm
2
.
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