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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


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 288 cm2


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 cm2 
The perimeter of the base = 9 + 12 + 15 = 36 cm
The total surface area of a prism = 2 × 54 cm2 + 36 cm × 5 cm = 108 cm2 + 180 cm2 = 288 cm2
Hence, the correct answer is 288 cm2.

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