Question : The base of a prism is a right-angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is:
Option 1: 360 sq cm
Option 2: 300 sq cm
Option 3: 330 sq cm
Option 4: 325 sq cm
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Correct Answer: 360 sq cm
Solution : Given: Height = 10 cm Two sides = 5 cm and 12 cm $\therefore$ Area of the base of the right prism = $\frac{1}{2}×5×12$ = 30 sq cm Other side of the right-angled triangle $=\sqrt{5^2+12^2}=\sqrt{25+144} = 13$ Curved surface area = perimeter of base × height = (5 + 12 + 13) × 10 = 300 sq cm $\therefore$ Total surface area = curved surface area + 2 (area of base) = 300 + 2 × 30 = 360 sq cm Hence, the correct answer is 360 sq cm.
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Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Question : The base of a right prism is an equilateral triangle whose side is 10 cm. If the height of this prism is $10 \sqrt{3}$ cm, then what is the total surface area of the prism?
Option 1: $125 \sqrt{3}$ cm2
Option 2: $325 \sqrt{3}$ cm2
Option 3: $150 \sqrt{3}$ cm2
Option 4: $350 \sqrt{3}$ cm2
Question : The base of a right prism is a triangle whose sides are 8 cm, 15 cm and 17 cm, and its lateral surface area is 480 cm$^2$. What is the volume (in cm$^3$) of the prism?
Option 1: 540
Option 2: 600
Option 3: 720
Option 4: 640
Question : The base of a prism is a right-angle triangle whose sides are 9 cm, 12 cm, and 15 cm. Volume of this prism is 648 cm3. What will be the height of the prism?
Option 1: 14 cm
Option 2: 12 cm
Option 3: 9 cm
Option 4: 16 cm
Question : The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is the total surface area of the prism (in cm2)?
Option 1: 200
Option 2: 176
Option 3: 192
Option 4: 180
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