Question

The volume of a pyramid with a square base is 2352 cubic cm. The height of the pyramid is 16 cm. what will be the approximate length of the slant edges of the pyramid?

1. 21
2. 22
3. 20
4. 19

Answer 1

Correct Answer - Option 2 : 22

Given:

Volume of a pyramid with square base = 2058 cubic cm

Height of the pyramid =16 cm

Formula Used:

V = (1/3) × Area of base × height

Calculation:

V = (1/3) × Area of base × height

⇒ 2352 = (1/3) × a² × 16 

⇒ a² = 441

⇒ a = 21 cm

(Slant edge)² = h² + (Diagonal of base/2)²

(Slant edge)² = 16² + (√2 × 21/2)²

(Slant edge)² = 256 + 220.5 = 476.5

Slant edge ≈ 22 cm

∴ The approximate value of slant edge is 22 cm.