**Volume**

Starter

Match the shape to the area formula.

Volume

What does it mean to measure volume in cm ?

Volume of cuboids

**L.O. - Understand volume and calculate volume of shapes. (Level 5/6 to 8)**

l bh ½d d r ½bh ½(a + b)h

2

2

2

1

Starter

Match the shape to the area formula.

l bh ½d d r ½bh ½(a + b)h

2

2

2

1

3

What is the volume of these shapes if each cube is

1 cm ?

3

What approach can we use to find the number of cubes arranged in the shape of a cuboid?

Calculating Volume

Find the volume of this cuboid.

Can you use your answer to

find the volume of this

triangular-prism?

What about this prism?

Volume of prisms

Volume of prism =

area of cross-section x depth

Calculating Volume

Find the volume of this cuboid.

Can you use your answer to

find the volume of this

triangular-prism?

What about this prism?

120cm

3

60 cm

3

120cm

3

Main Activity 1

Red

Find the volume of these prisms

Amber

Find the height of this

triangular prism given its volume.

Green

The cylinder and the cuboid have the same volume. Find the height of the cuboid to 2 d.p.

Pyramids

What is the relationship between the volume

of a pyramid and the volume of a prism?

Volume of a Pyramid

Volume of a pyramid = volume of prism

1

3

Volume of pyramid =

x base area x height

1

3

Main Activity 2

Red

Find the volume of these pyramids

Amber

Find the volume of these pyramids

Green

The cone and the cylinder have the same volume. Find the height of the cone.

4 cm