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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

The lateral surface area of a pyramid with base perimeter P and slant height l:

Answer: (1/2) P l.

  • A (1/2) P l
  • B P × l
  • C P + l
  • D 2Pl

Correct answer: A. (1/2) P l

Explanation: Lateral SA of pyramid = (1/2) × perimeter of base × slant height = (1/2)Pl.

Cylinder, Cone, SphereV=πr²hCSA=2πrhV=⅓πr²hCSA=πrlV=4/3πr³SA=4πr²

Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.

Concept context

Perimeters, areas, and volumes of 2D and 3D shapes

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