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.