Page 234 - SK Year 5 Mathematics DLP

VOLUME OF COMPOSITE SHAPES

1
1 unit
We will learn how to
determine the volume 1 unit
of composite shapes. 1 unit
The volume of
the small cube
is 1 cubic unit.

What is the volume of the composite shape?

Method 1 Count the number of cubes
of 1 cubic unit.

Volume of the
6 cubes 54 cubes composite shape
3
1 cubic unit 1 cubic unit = 6 units + 54 units 3
6 units 3 54 units 3 = 60 units 3
Method 2
2 units Volume of the composite shape
1 unit
= Volume + Volume
3 units
= (2 units × 1 unit × 3 units)
+ (9 units × 2 units × 3 units)
3 units
3
= 6 units + 54 units
3
2 units 3
9 units = 60 units
The volume of the composite shape is 60 units .
3

Build a combination of cube and cuboid from 59 cubic units. For each of
the composition of shapes, state the volume of the cuboid and the cube.

• Emphasise that the volume of each of the composite shape is the
226 same even though they are in different arrangements.
6.4.1
• Provide cubes and cuboids of various sizes for pupils to explore
various compositions of two shapes to find its volume.