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


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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