WALT: calculate the volume of cubes and
cuboids
- Count the squares- Use the formula:
- V = L x h x w
The ‘volume’ is the amount of space taken up by a 3D shape.
Formula:Volume = length x width x height
lengthwidth
height
Look at the cuboid and identify the 3 measurements that we will use to calculate volume: height, width and length.
length
width
height
Just as with area in the lessons last week, if the 3D shape is on a grid or made up of cubes, you can just count them to find the volume!
1 cube = 1 unit3
Volume is measured in cubed units or units cubed!
What is the volume of this shape?
Count the cubes!
1cm
15 cm3
Answer:
What is the volume of this shape?
1cm
Answer:
12cm3
What is the volume of this shape?
1cm
Answer:
10cm3
14cm3
What is the volume of this shape?
1cm
Look at this cube carefully
16cm3
1st layer
The other 3 layers all have the same volume as they aremade up of the same number of cubes.
Therefore…
16 x 4 = 64cm3
4cm
4cm
4cm
Volume = l × w × h= 4cm × 4cm × 4cm= 16cm × 4cm= 64cm3
Calculate the volume of this cuboid.
Volume = l × w × h= 3cm × 3cm × 4cm= 9cm × 4cm= 36cm3
4 cm
3cm
3cm
Calculate the volume of the cuboid below
5cm
4cm
3cm
Have a go!
5cm
4cm
3cm
Answer:
Volume = l × w × h= 5cm × 4cm × 3cm= 20cm × 3cm= 60cm3
Calculate the volume of the cube below:
10m3
Answer:As this shape is a cube, we know that all of the sides are equal length.
10m3
Volume = l × w × h= 10cm × 10cm × 10cm= 100cm × 10cm= 1000cm3
8cm
Find the missing length. The volume of the cuboid is 48cm3.
?cm
3cm
8cm
?cm
3cm
Volume = l × w × h
Therefore:
48cm3 = l x w x h
48cm3 = 8cm x 3cm x h
48cm ÷ 8cm = 6cm
6cm ÷ 3cm = 2cm
So the missing length is 2cm3
48cm3
Calculate the volume of the compound shape below:
Remember the strategy you used for area of compound shapes and do the same thing!
Divide the shape into two regular shapes…
Answer:
Part APart B
Part A
Volume = l × w × h
Volume = 5cm x 15cm x 10cm
Volume = 75cm x 10cm
Volume = 750cm3
Part B
Volume = l × w × h
Volume = 5cm x 5cm x 5cm
Volume = 25cm x 5cm
Volume = 125cm3
Total volume of shape: 750cm3 + 125cm3 = 875cm3
Now try the worksheets!