3.4 Volume and Capacity

• The metre cube (m³) as a unit of volume
• Conversions between cubic metres (m³) and cubic centimetres (cm³)
• Volume of a cube
• Volume of a cuboid
• Volume of a cylinder
• Relationship between cm³, m³ and litres
• Relating volume to capacity
• Capacity of containers in real-life: tanks, packets, jerrycans and consumer packaging

• identify metre cube (m³) as a unit of volume in measurements
• convert metre cube (m³) into centimetre cube (cm³) and vice versa in different situations
• work out the volume of cubes, cuboids, and cylinders in different situations
• identify the relationship between cm³, m³ and litres in real-life situations
• relate volume to capacity in real-life situations
• work out the capacity of containers in real-life situations
• promote the use of volume and capacity in real-life situations

“Where do we use volume and capacity in daily activities?”

“Why do we measure volume?”

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1. The metre cube
   40 min · 1 practice tasks · quiz
   Identify the cubic metre as the SI unit of volume by building a 1 m stick cube and comparing it with a 1 cm cube.
2. Converting m³ and cm³
   40 min · 1 practice tasks · quiz
   Convert cubic metres to cubic centimetres and back using 1 m³ = 1 000 000 cm³.
3. Volume of a cube
   40 min · 1 practice tasks · quiz
   Work out the volume of a cube as the edge cubed, keeping all three edges in the same unit.
4. Volume of a cuboid
   40 min · 1 practice tasks · quiz
   Work out the volume of a cuboid as length times width times height, including classrooms, stores and cartons.
5. Volume of a cylinder
   40 min · 1 practice tasks · quiz
   Work out the volume of a cylinder as πr²h using 22/7 or 3.14, from radius not diameter.
6. Cubic centimetres, cubic metres and litres
   40 min · 1 practice tasks · quiz
   Identify 1 L = 1000 cm³ and 1 m³ = 1000 L, and convert among cm³, m³ and litres.
7. Volume and capacity
   40 min · 1 practice tasks · quiz
   Relate volume (space occupied) to capacity (how much a container can hold), including empty, half-full and full containers.
8. Capacity of containers
   40 min · 1 practice tasks · quiz
   Work out the capacity of tanks, tins and packets, count how many small packs fill a larger container, and read labels as a consumer.