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
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Correct Answer: 8
Solution : Given: Whole surface area = 340 cm2 Area of each lateral face = 30 cm2 Area of base = 100 cm2 Whole surface area = lateral surface area + area of the base ⇒ 340 = lateral surface area + 100 $\therefore$ Lateral surface area = 240 cm2 Thus, number of lateral faces = $\frac{240}{30}$ = 8 Hence, the correct answer is 8.
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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
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 lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm2, the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:
Option 1: $30\pi$ cm2
Option 2: $48\pi$ cm2
Option 3: $36\pi$ cm2
Option 4: $60\pi$ cm2
Question : The volume of a cylinder is 4312 cm3. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$ )
Option 1: 572 cm2
Option 2: 528 cm2
Option 3: 660 cm2
Option 4: 616 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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