topic badge
Australia
Year 7

10.08 Volume of rectangular prisms

Worksheet
Rectangular prisms
1

Find the volume of the following rectangular prisms:

a
b
c
d
e
2

Find the volume of the following cubes:

a
b
3

Find the volume of a cube that has a side length of 14\text{ m}.

4

Find the side length of a cube that has a volume of 27\text{ cm}^3.

Composite solids
5

The composite solid can be broken down into two smaller rectangular prisms as shown:

a

Find the volume of the top prism.

b

Find the volume of the bottom prism.

c

Hence, find the total volume of the composite solid.

6

The composite solid can be broken down into two smaller rectangular prisms as shown:

a

Find the volume of the top prism.

b

Find the volume of the bottom prism.

c

Hence, find the total volume of the composite solid.

7

The following composite solid can be broken down into four identical smaller rectangular prisms:

a

Find the volume of the smaller prism.

b

Hence, find the total volume of the composite solid.

8

Explain how to find the volume of the following composite solid.

9

Find the volume of the following composite solids:

a
b
c
d
Applications
10

A tank has a length of 9\text{ m}, width of 4\text{ m} and depth of 8\text{ m} . Find the volume of the tank.

11

A container has the shape of a rectangular prism with dimensions 50\text{ cm}, 30\text{ cm}, and 60\text{ cm}. Find the volume of the container.

12

Find the maximum volume of water this aquarium can hold:

13

A box is 2\text{ m} long, 30\text{ cm} high and 40\text{ cm} wide. Find the volume of the box in cubic centimetres.

14

A regular box of cereal is in the shape of a rectangular prism and measures 24\text{ cm} by 12\text{ cm} by 19\text{ cm}.

a

Find the volume of the box of cereal.

b

The company that makes these cereal boxes also makes a jumbo size box, which is twice as long, twice as wide, and twice as tall as the regular size boxes.

i

Find the volume of the jumbo box of cereal.

ii

Is the volume of the jumbo box twice the volume of the regular box?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

ACMMG160

Calculate volumes of rectangular prisms

What is Mathspace

About Mathspace