15
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
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.
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.
ll ll
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
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.
lll
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
lll
CUBOIDA cuboid also has 6 faces but NOT all the faces are
equal
LengthBreadth
Height
Volume of CUBOID = LENGTH X BREADTH X HEIGHT = X X l b h
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
Example 4
7m
5m
15m
Volume of cuboid = x x = 7 x 5 x 15= 525m³
l b h
Practice
Try these questions yourself. Make sure you solve the
question first before proceeding...
NEXT
Question 1Find the volume of the
following solid.
Volume of cube= x x
= x x
= cm³
2 2 2
8
2cm
2cm 2cm
l l l
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
Question 3
7m
4m3m
4 3 7
84
Question 4
11cm
7cm
6cm
Volume of cuboid = x x
= m³
11
7 6
462
