Volume and capacity problems 11 plus: a parent's guide
21 October 2026
Understanding volume and capacity
Volume and capacity questions are common in the 11+ Maths exam. Children are asked to work out how much space is inside a 3D shape, or how much a container can hold. These problems test spatial understanding and the ability to use formulas correctly.
Key insight: Encourage your child to draw shapes and label the dimensions. Visualising the problem often makes it easier to solve.
Key concepts for 11+ exams
For the 11+, your child should know the difference between volume (the space inside a shape, measured in cubic units) and capacity (how much a container can hold, usually in litres or millilitres). They should be comfortable with metric units and able to convert between them when needed.
Worked example: finding the volume of a box
Imagine a rectangular box with a length of 5 cm, a width of 4 cm, and a height of 3 cm.
First, remind your child of the formula for the volume of a cuboid: length × width × height.
Start by multiplying the length and width: 5 cm × 4 cm = 20 cm².
Next, multiply this result by the height: 20 cm² × 3 cm = 60 cm³.
The volume of the box is 60 cubic centimetres.
Why practice matters
Regular practice with volume and capacity helps children spot patterns, avoid common mistakes, and build confidence for the 11+ exam. It also prepares them for real-life situations, such as measuring liquids or packing items.
Key insight: Use everyday objects at home, like boxes or bottles, to create simple practice questions together.
