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📐 Mathematics  ·  Circles & Mensuration  ·  JEE

Area of a trapezoid with parallel sides a and b, height h:

Answer: (1/2)(a+b) × h.

  • A (a+b) × h
  • B (1/2)(a+b) × h
  • C ab × h
  • D (a-b) × h

Correct answer: B. (1/2)(a+b) × h

Explanation: Area of trapezoid = (1/2)(sum of parallel sides) × height = (a+b)h/2.

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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