SSC CHSL 2025 · PYQ · Mensuration · medium
A regular right pyramid has a square base with side length 16 cm and a height of 30 cm. Calculate the slant height and total surface area. (in approx)
Answer
The correct answer is B: 31.05 cm, 1249.6 cm². Slant height l = √(h² + (a/2)²) = √(900 + 64) = √964 ≈ 31.05 cm. TSA = base + 4 triangles = 16² + 4×(1/2×16×31.05) = 256 + 993.6 = 1249.6 cm².
- A.28.12 cm, 1230.2 cm²
- B.31.05 cm, 1249.6 cm²✓ Correct
- C.24.45 cm, 1180.8 cm²
- D.30.12 cm, 1530.2 cm²
Slant height l = √(h² + (a/2)²) = √(900 + 64) = √964 ≈ 31.05 cm. TSA = base + 4 triangles = 16² + 4×(1/2×16×31.05) = 256 + 993.6 = 1249.6 cm².
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