SSC CGL 2022 PYQ — Question 65

SSC CGL - 20 April 2022 - Shift 2 • Quantitative Aptitude • Q65

The total surface atrea of a right pyramid, with base as a square of side 8cm, is 208ccm2. What is the slant height (in cm) of the pyramid?

Show answer & explanation

Correct answer: C

Explanation

 The correct answer is option 3 i.e. 9

Total surface area = Lateral surface area + Area of the base

208 = L.S.A. + 82

⇒ 208 - 64 = L.S.A 

⇒ 144 = L.S.A.

Again,

L.S.A. = 1/2 × perimeter of base × slant height

144 = 1/2 × 4 × 8 × slant height

⇒ 9 = slant height