volume of cubes and cuboid

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