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 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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Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $9 \sqrt{2}$ cm and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle(in cm2) is:
Option 1: 216
Option 2: 72
Option 3: 144
Option 4: 288
Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $6 \sqrt{2}$ cm, and its height is equal to the side of a square whose area is 144 cm2. The area of the triangle (in cm2) is:
Option 1: 288
Option 2: 216
Option 4: 72
Question : The base of the right prism, whose height is 2 cm, is a square. If the total surface area of the prism is 10 cm2, then its volume is:
Option 1: 3 cm3
Option 2: 1 cm3
Option 3: 2 cm3
Option 4: 4 cm3
Question : The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:
Option 1: 280 cm2
Option 2: 250 cm2
Option 3: 300 cm2
Option 4: 220 cm2
Question : What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 3850 cm2
Option 2: 3704 cm2
Option 3: 3750 cm2
Option 4: 3675 cm2
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