Shape and Space

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# Shape and Space - PowerPoint PPT Presentation

Shape and Space. Volume Level 4. A. Counting cubes. length. What is a cube?. height. width. A cube is a solid shape with 3 dimensions:. width. height =. length =. keywords. A. Counting cubes. length. What is a cube?. Dice are examples of cubes. height. width.

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### Shape and Space

Volume

Level 4

A. Counting cubes.

length

What is a cube?

height

width

A cube is a solid shape with 3 dimensions:

width

height =

length =

keywords

A. Counting cubes.

length

What is a cube?

Dice are examples of cubes.

height

width

A cube is a solid shape with 3 dimensions:

width

height =

length =

Each dimension has the same measurement.

A. Volume of a cube.

Calculate the volume of one cube:

1cm

length = 1cm

This is sometimes called a ‘centicube’

1cm

height = 1cm

1cm

width = 1cm

keyword

( )

( )

( )

length ×

width

Volume =

height ×

= 1cm3

cubed

Volume of cuboids.

keyword

A cuboid is a name given to a solid rectangular box shape.

One row

Q: What is the volume for this row of centicubes?

(4 centimetres cubed)

A: Volume = 4 × 1cm3 = 4cm3

4

3

2

1

This cuboid has one layer.

This layer has three rows.

Each row has four centicubes.

4

= 12 cm3

1

3

Volume = layers × rows × centicubes

( )

rows ×

centicubes

( )

( )

Volume of a cuboid = layers ×

= 24 cm3

2 × layers

2

4 × centicubes

4

3 × rows

3

B. Calculating the volume of cuboids

= 24 cm3

Volume of cuboid = layers × rows × centicubes

( 2 ) × ( 3 ) × ( 4 )

This means we don’t need to count cubes now!

height

height

= 2cm

length

length

= 4cm

width

width

= 3cm

Calculate the volume of the cuboid below with the following

dimensions:

Does it matter which edge is length, width or height?

4

4 cm

2

2 cm

7

7 cm

( )

Volume = height × width × length

( )

( )

= 56 cm3

Does it matter which edge is length, width or height?

height

height

width

width

length

Length

If this cuboid is tipped on to another side:

Volume is a product of all three edges, it does not matter how each edge is labelled!