SSC CPO 2025 PYQ — Question 109

SSC CPO - 9 Dec 2025 - Shift 1 • Quantitative Aptitude • Q109

A regular right pyramid has a square base with a side length of 12 cm. Its slant height is 8 cm. What is its volume?

Show answer & explanation

Correct answer: A

Explanation

Base side = 12 cm, Slant height = 8 cm
ℓ² = h² + (a/2)²
8² = h² + 6²
64 = h² + 36
h² = 28
h = √28 ≈ 5.29
Volume =13×a2×h= \frac{1}{3} \times a^2 \times h
Volume =13×122×5.29=253.92≈254= \frac{1}{3} \times 12^2 \times 5.29 = 253.92 \approx 254 cm³