Transcript Shape and Space - Every Maths Topic

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:
height = length =
keywords
width
A. Counting cubes.
length
What is a cube?
Dice are examples
of cubes.
height
width
A cube is a solid shape with 3 dimensions:
height = length =
width
Each dimension has the same measurement.
A. Volume of a cube.
Calculate the volume of one cube:
length = 1cm
This is sometimes
called a ‘centicube’
height = 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?
A: Volume = 4 × 1cm3 = 4cm3
(4 centimetres cubed)
4
3
2
1
This cuboid has one layer.
This layer has three rows.
Each row has four centicubes.
4
1 × rows
3 × centicubes
Volume = layers
= 12 cm3
(
)
) × centicubes
Volume of a cuboid = (layers) × ( rows
= 24 cm3
2 × layers
4 × centicubes
3 × rows
B. Calculating the volume of cuboids
Volume of cuboid = (layers
2 ) ×× rows
( 3 ×
) centicubes
× ( 4 ) = 24 cm3
This means we
don’t need to count
cubes now!
height
= 2cm
length
= 4cm
width
= 3cm
Calculate the volume of the cuboid below with the following
dimensions:
Does it matter which edge
is length, width or height?
4 cm
2 cm
7 cm
(
)
Volume = height
(
) × width
(
) × length
= 56 cm3
Does it matter which edge
is length, width or height?
height
height
width width
lengthLength
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!