Volume · Usually met around P5
Volume of cubes and cuboids
Length × width × height: easy pair first.
How to do it
Method
Length × width × height: easy pair first
5 × 7 × 4: 5 × 4 = 20, 20 × 7 = 140
Another way
Length × width × height
5 × 7 = 35, 35 × 4 = 140
In full
A cuboid's volume = length × width × height. A cube's volume = edge × edge × edge. Volume is measured in cm³ or m³. Quicker: multiply the easy pair of numbers first: 5 × 7 × 4 → 5 × 4 = 20, 20 × 7 = 140 cm³. Counting small cubes: one layer has length × width cubes, then multiply by the number of layers. One layer is 4 × 3 = 12, and there are 3 layers: 12 × 3 = 36 cubes, so 36 cm³ (count the hidden cubes too). Or work out length × width × height in order: 5 × 7 = 35, 35 × 4 = 140.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
Volume of the solid = ? cm³
Show the answer and working
Answer: Volume of the solid = 6 cm³
One layer is 3 × 2 = 6 small cubes, and there are 1 layers: 6 × 1 = 6 (count the hidden ones too), so 6 cm³
Example 2
Volume of the cuboid = ? cm³
Show the answer and working
Answer: Volume of the cuboid = 160 cm³
A cuboid's volume is length × width × height: 10 × 2 = 20, 20 × 8 = 160, so 160 cm³
Example 3
Volume of the cube = ? cm³
Show the answer and working
Answer: Volume of the cube = 512 cm³
A cube's volume is edge × edge × edge: 8 × 8 = 64, 64 × 8 = 512, so 512 cm³
Practise it in the game →Volume · Free to start, unlimited questions, no download