Volume · Grade 6
In Grade 6 you learn: volume by counting cubes.
Volume is how much space a solid takes up, measured in cubic units such as cm³ and m³. Count the cubes, or multiply: for a rectangular prism, length × width × height; for any prism or cylinder, the area of the cross-section × the length.
Key facts
- Volume is measured in cubic units: count the 1 cm cubes that fill a solid.
Worked examples
Example 1
Find the volume of a cube with edges of 4 cm.
Answer: 64 cm³
Example 2
A rectangular prism is 5 cm long, 3 cm wide and 2 cm high. Find its volume.
Answer: 30 cm³
Example 3
A box is filled with 1 cm cubes: 5 along, 3 deep and 2 layers high. How many cubes fill it, and what is its volume?
Answer: 30 cubes, 30 cm³
Example 4
A rectangular prism has a volume of 60 cm³. It is 5 cm long and 4 cm wide. How tall is it?
Answer: 3 cm