Volume and Capacity — Victorian Year 4 Maths
Finding volume by counting unit cubes: cubes in stacks and layers, hidden cubes, cubic centimetres and solids with the same volume. One subtopic and 20 questions with answers, aligned to VC2M4SP02.
Volume and Capacity in Victorian Year 4
Volume is the amount of space a solid takes up. In this topic students find volume by counting the equal cubes that build or fill a shape, working layer by layer, and see that two solids with different shapes can still be made from the same number of cubes. The topic title mentions capacity, but the Year 4 work here is about volume measured in cubes.
The one subtopic below is measuring volume with cubic units. Volume and Capacity is one of the 20 topics in Victorian Year 4 Maths. Its code, Victorian Curriculum 2.0 VC2M4SP02, sits in the Space strand, where students build and describe objects from familiar shapes, and counting cubes is part of that work. Later years build on counting layers of cubes to find volume by multiplying.
Subtopics
Volume and Capacity: common questions
What is volume?
Volume is how much space a solid object takes up. In Year 4 it is measured by counting equal cubes. A model built from 14 cubes has a volume of 14 cubes, whatever its shape, so a tall tower and a flat slab can have the same volume.
How do you count the cubes in a stack quickly?
Count the cubes in one layer, then multiply by the number of layers. A box packed with 3 layers, each 3 cubes long and 3 cubes wide, holds \(3 \times 3 = 9\) cubes in each layer and \(9 \times 3 = 27\) cubes in all. Remember the cubes hidden at the back and underneath.
What is a cubic centimetre?
It is the space taken up by a cube that is 1 cm long, 1 cm wide and 1 cm high, written \(\text{cm}^3\). Volume uses cubic units, area uses square units and length uses plain units such as cm. Mixing these up is a common mistake.
How can my child practise volume at home?
Build towers and boxes from building blocks or sugar cubes and count them layer by layer. Then rebuild the same cubes into a new shape and check that the volume has not changed. Filling a small box with blocks shows how many fit inside.
Which curriculum codes cover Volume and Capacity in Victorian Year 4?
The subtopic comes under Victorian Curriculum 2.0 code VC2M4SP02, which is about building and describing shapes and objects from familiar parts. Counting the cubes that make up a solid is how that work meets volume in Year 4.