Maths worksheets · lesson 38 of 64 · free

Area and volume — Maths worksheet

Area is the space a flat shape covers, measured in square units. Volume is the space a solid takes up, measured in cubic units. A cuboid (a box shape) has volume length × width × height; a cube has edge × edge × edge. 1000 cubic cm hold 1 litre of water.

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The method

Three sides multiply — “volume of a cuboid = length × width × height, in cubic units”

  1. Area of a rectangle = length × width (square units).
  2. Volume of a cuboid = length × width × height (cubic units). Cube: edge × edge × edge.
  3. Missing height = volume ÷ (length × width).
  4. 1000 cubic cm = 1 litre.

Use it for: Packing boxes, filling tanks and aquariums, tiling floors, and the area and volume chapter of Class 5 maths.

Worked example: A box is 6 cm long, 4 cm wide and 3 cm high. What is its volume (in cubic cm)? → 72

  1. Volume = length × width × height = 6 × 4 × 3.
  2. 24 × 3 = 72.

Check: 72 ÷ (6 × 4) = 3, the height ✓

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🏁 Lesson 38 test

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

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🖨️ Class 5 Maths Worksheet: Area and Volume

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