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
Correct Answer: 8
Solution :
Given: Whole surface area = 340 cm
2
Area of each lateral face = 30 cm
2
Area of base = 100 cm
2
Whole surface area = lateral surface area + area of the base
⇒ 340 = lateral surface area + 100
$\therefore$ Lateral surface area = 240 cm
2
Thus, number of lateral faces = $\frac{240}{30}$ = 8
Hence, the correct answer is 8.
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