Volume
Maths: Edexcel IGCSE Higher, topic 4.8.3
Volume of 3D Shapes
We can use formulae to calculate the volume of common shapes.
Prism
- Volume = area of base × length.
Cuboid
- Remember that a cuboid is a prism with rectangular base.
- Volume = width × height × length = area of base × length.
Cylinder
- The area of a circle is πr2 so:
- V = πr2 × h
- Where h is the height of the cylinder.
Volume and Capacity
Volume and capacity
- The volume of a 3D shape is the amount of space inside it.
- The capacity is the amount of a substance that the shape could hold.
Units
- Standard units for volume are cubic metres (m3), cubic centimetres (cm3) and cubic millimetres (mm3).
- Standard units for capacity are litres (l) and millilitres (ml).
- The imperial unit for volume is gallons.
Converting between volumes
- To convert between different units of volume, write out the measure as a multiplication and convert each part separately.
Test yourself on Volume
V = πr2 × heightWhat is this the formula for?
What is the formula for the volume of a prism?
What is the formula for the volume of a cuboid?
What is the formula for the volume of a cylinder?
What is 1 cm³?