MathsFreePrintable

Volume Explorations Worksheet

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Volume Explorations Worksheet

Calculate the volume of each solid. Show your working and include the correct cubic units in your answers.

Calculate volume

For a cube, volume = side × side × side. For a rectangular prism, volume = length × width × height.

1.A cube has sides that are each 7 cm long. What is its volume?

2.A rectangular prism measures 9 cm long, 4 cm wide and six centimetres high. Calculate its volume.

3.A cube has sides that are each 5 cm long. Find its volume.

4.Which prism has the greatest volume? A: five centimetres × four centimetres × seven centimetres; B: three centimetres × nine centimetres × five centimetres; C: six centimetres × six centimetres × five centimetres.

Prism A
Prism B
Prism C

Find a missing dimension

Use the volume and the known measurements to work out the missing measurement.

5.A rectangular prism has a volume of 336 cm³. Its length is eight centimetres and its width is seven centimetres. What is its height?

6.A cube-shaped container holds 512 cm³. What is the length of each edge?

7.A fish tank has a volume of 2,520 cm³. It is fifteen centimetres wide and twelve centimetres high. How long is the tank?

Volume in everyday situations

8.A storage carton is twenty-four centimetres long, eighteen centimetres wide and ten centimetres high. Calculate how much space is inside it.

9.Eight small cubes, each with a volume of 27 cm³, are packed into a rectangular box. The box is eighteen centimetres long and nine centimetres wide. What is the minimum height the box needs to hold all eight cubes?

10.A rectangular storage box has a volume of 840 cm³, a length of fourteen centimetres and a height of five centimetres. Work out its width and explain the calculation you used.

11.A rectangular water tank has a volume of 840 cm³. Its base is fourteen centimetres long and ten centimetres wide. Describe how to find the tank's unknown height, and include a formula.