Quantitative aptitude · lesson 26 of 30 · free

Volume and surface area — Quantitative aptitude for kids

Volume tells you how much a box, tank or can holds; surface area tells you how much material covers it. Cuboids, cubes and cylinders each have a simple formula, and 1 litre = 1000 cubic cm.

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The method

Fill or wrap — “volume is the space inside a solid; surface area is the paper that wraps it”

  1. Cuboid: volume = l × b × h; total surface area = 2 × (lb + bh + hl).
  2. Cube: volume = a × a × a; surface area = 6 × a × a.
  3. Cylinder (π = 22/7): volume = π × r × r × h; curved surface area = 2 × π × r × h.
  4. 1 litre = 1000 cubic cm; small cubes in a box = (L ÷ a) × (B ÷ a) × (H ÷ a).

Use it for: Tanks, boxes, cans and packing, and mensuration in Class 8–10 and aptitude tests.

Worked example: A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume (take π = 22/7; in cubic cm)? → 1540

  1. Volume = 22/7 × 7 × 7 × 10.
  2. 22 × 7 × 10 = 1540 cubic cm.

Check: Base area = 22/7 × 49 = 154 sq cm, and 154 × 10 = 1540 ✓

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🏁 Lesson 26 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Volume and Surface Area Worksheet

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