This lesson explains the concept of volume, specifically focusing on cubes and cuboids, and provides formulas for calculating their volumes. It details how to find the volume of a cube using length and provides examples and practice questions for both shapes. Additionally, it distinguishes between cubes and cuboids based on their dimensions and faces.

2. Lesson
Objective
In this lesson, you will learn and
understand:
 The concept of volume
 The Difference between Cube
and Cuboid
 Finding the Volume of Cube
and Cuboid

3. What is volume?
The volume of a solid, cube or cuboid
refers to the capacity of the
solid or the amount of space
inside the solid.

4. Volume of CUBE = LENGTH X LENGTH X LENGTH
= X X
= ³
LENGTH
LENGTH
LENGTH
A Cube has 6 square faces.
The length of each square face is equal.
l
l l
l

5. The solid shown below is made up of
twenty-seven 1-cm cubes. Find the volume
of the solid.
Method 1
Volume of one 1-cm cube = 1 x 1 x 1 cm³
= 1 cm³
Volume of twenty-seven 1 cm cubes = 27 x 1 cm³
= 27 cm³
The volume of the cube is 27 cm³
Method 2
Volume of cube = 3 x 3 x 3 cm³
= 27 cm³
The volume of the cube is 27 cm³
3 cm 3 cm
3 cm

6. Example 1
Volume of cube = x x
= 5 x 5 x 5
= 125cm³
5 cm
5 cm
5 cm
Find the volume of the cube.
l
l
l

7. Example 2
Volume of present = x x
= 10 x 10 x 10
= 125cm³
The present shown on
the left is a present
given to class 1T1 for
winning the Cheer
Competition. Find the
volume of the present
if it is a cube.
10 cm
l
l
l

8. CUBOID
A cuboid also has 6 faces but
NOT all the faces are equal
Length
width
Height
Volume of CUBOID = LENGTH X BREADTH X HEIGHT
= X W X
l h

9. Example 3
10cm
4cm
4cm
Volume of cuboid = x x
= 10 x 4 x 4
= 160cm³
Find the volume of the cuboid shown below.
l b h

10. Example 4
7m
5m
15m
Volume of cuboid
= x x
= 7 x 5 x 15
= 525m³
l b h

11. Practice
Try these questions yourself. Make
sure you solve the question first
before proceeding...
NEXT

12. Question 1
Find the volume of the
following solid.
Volume of cube
= x x
= x x
= cm³
2 2 2
8
2cm
2cm 2cm
l l l

13. Volume of cube
= x x
= x x
= cm³
Question 2
6 6 6
216
6cm
Find the volume
of the cube
shown below.
l l l

14. Question 3
7m
4m
3m
4 3 7
84

15. Question 4
11cm
7cm
6cm
Volume of cuboid = x x
= m³
1
1
7 6
462