SSC Selection Post 2025 PYQ — Question 27

SSC Selection Post - Higher Secondary Level - 29th August 2025 - Shift 2 • Quantitative Aptitude • Q27

A regular right triangular pyramid has base side = 10 cm, and slant height = 13 cm. Find the total surface area if all slant heights are equal and the base is equilateral.

Show answer & explanation

Correct answer: A

Explanation

Area of ​​the base = (√3 / 4) × 10²

= 25√3 sq cm

Area of ​​the three lateral triangles = 3 × (1/2 × 10 × 13)

= 195 sq cm

Total surface area = 195 + 25√3

= 195 + 43.3

= 238.3 sq cm