Question : What is the total surface area of a pyramid whose base is a square with a side 8 cm and the height of the pyramid is 3 cm?
Option 1: 169 cm2
Option 2: 121 cm2
Option 3: 144 cm2
Option 4: 184 cm2
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Correct Answer: 144 cm2
Solution : Given, The side of the square base = 8 cm and the height of the pyramid = 3 cm The slant height (l) of the pyramid needs to be evaluated, ⇒ l2 = ($\frac{\text{side}}{2}$)2 + (Height)2 ⇒ l2 = 42 + 32 ⇒ l2 = 16 + 9 ⇒ l2 = 25 ⇒ l = 5 cm The total surface area of the pyramid = (Base Area) + $\frac12$ × (Perimeter of base) × (Slant height) = 64 + $\frac12$ × 32 × 5 = 64 + 16 × 5 = 64 + 80 = 144 cm2 Hence, the correct answer is 144 cm2.
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Question : The base of a right pyramid is square of side 10 cm. If the height of the pyramid is 12 cm, then its total surface area is:
Option 1: 400 cm2
Option 2: 460 cm2
Option 3: 260 cm2
Option 4: 360 cm2
Question : The base of a right prism is a square having a side of 15 cm. If its height is 8 cm, then find the total surface area.
Option 1: 940 cm2
Option 2: 920 cm2
Option 3: 900 cm2
Option 4: 930 cm2
Question : The whole surface area of a pyramid whose base is a regular polygon is 340 cm2, the area of its base is 100 cm2, and the area of each lateral face is 30 cm2. Then the number of lateral faces is:
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 10
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 : What is the whole surface area of a cone with a base radius of 6 cm and height of 8 cm?
Option 1: 354.50 cm2
Option 2: 350.51 cm2
Option 3: 301.71 cm2
Option 4: 364.61 cm2
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