SSC CHSL 2025 PYQ — Question 57

SSC CHSL - 26 Nov 2025 - Shift 2 • Quantitative Aptitude • Q57

An architect designs a museum cap in the form of a regular right square pyramid. If the slant height is 13 m and each side of the square base is 10 m, what is the vertical height of the pyramid?

Show answer & explanation

Correct answer: B

Explanation

given :

Slant height (l) = 13 m

side of base = 10 m

According to the formula:

l² = h² + (a/2)²

a/2 = 10/2 = 5

13² = h² + 5²

169 = h² + 25

h² = 169 − 25

h² = 144

h = 12

Vertical height = 12 m