Volume Practice

Practise finding the volume of boxes and cubes — how much space a solid takes up.

Grades 5–6 · 5.MD⚡ Geometry
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How to find volume

Volume measures how much space a 3-D solid fills, counted in cubic units. For box shapes it’s the same idea as area, with one more dimension: multiply all three.

  1. Rectangular prism (box): length × width × height.
  2. Cube: side × side × side (side cubed).
  3. Another way: find the area of the base, then multiply by the height.

Worked examples

BoxA 2 by 3 by 4 box — volume = 2 × 3 × 4 = 24 cubic units.
CubeA cube with side 3 — volume = 3 × 3 × 3 = 27 cubic units.
AD AREA (parent reading zone only — never shown during practice)

Tips & common mistakes

Volume is in cubic units because you multiply three lengths. The order doesn’t matter — 2 × 3 × 4 is the same as 4 × 3 × 2 — so multiply in whatever order is easiest. Type the number.

  • Multiplying only two of the three dimensions (that gives area, not volume).
  • Adding the dimensions instead of multiplying.
  • For a cube, forgetting it’s the side multiplied three times.

Frequently asked questions

How do you find the volume of a box?

Multiply length × width × height. A 2 by 3 by 4 box has a volume of 24 cubic units.

What is the volume of a cube?

Side × side × side. A cube with side 3 has volume 3³ = 27 cubic units.

Why is volume in cubic units?

Because you multiply three lengths together, filling the solid with unit cubes.

What’s the difference between area and volume?

Area covers a flat surface (square units, two dimensions); volume fills a solid (cubic units, three dimensions).

What grade is volume?

Volume of rectangular prisms is a grade 5 skill that continues into grade 6.

Keep practising

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