The base of a pyramid is an n-sided regular polygon of area 360 cm 2. The total surface area of the pyramid is 900 cm 2. Each lateral face of the pyramid has an area of 30 cm 2. Find n.

Question

The base of a pyramid is an n-sided regular polygon of area 360 cm 2. The total surface area of the pyramid is 900 cm 2. Each lateral face of the pyramid has an area of 30 cm 2. Find n. (A) 20 (B) 18 (C) 16 (D) 24

Tardigrade Admin · Accepted Answer

Total area of the lateral faces =900-360=540 cm 2. Number of lateral faces it has (540/30)=18.

Q. The base of a pyramid is an $n$ -sided regular polygon of area $360 c m^{2}$ . The total surface area of the pyramid is $900 c m^{2}$ . Each lateral face of the pyramid has an area of $30 c m^{2}$ . Find $n$ .

20

18

16

24

Total area of the lateral faces $= 900 - 360 = 540 c m^{2}$ .
Number of lateral faces it has $\frac{540}{30} = 18$ .

Q. The base of a pyramid is an n-sided regular polygon of area 360cm2. The total surface area of the pyramid is 900cm2. Each lateral face of the pyramid has an area of 30cm2. Find n.

20

18

16

24

Total area of the lateral faces =900−360=540cm2. Number of lateral faces it has 30540​=18.

Q. The base of a pyramid is an $n$ -sided regular polygon of area $360 c m^{2}$ . The total surface area of the pyramid is $900 c m^{2}$ . Each lateral face of the pyramid has an area of $30 c m^{2}$ . Find $n$ .

Total area of the lateral faces $= 900 - 360 = 540 c m^{2}$ .
Number of lateral faces it has $\frac{540}{30} = 18$ .