Calculating the Volume of Cubes and Cuboids: A Step-by-Step Guide, Study Guides, Projects, Research of Calculus

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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

length

width

height

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 unit

Volume is measured in cubed units or units cubed!

15 cm

3 Answer:

What is the volume of this shape? 1cm

What is the volume of this shape? 1cm

Answer:

10cm

3

Look at this cube carefully

16cm

3 1st layer The other 3 layers all have the same volume as they are made up of the same number of cubes. Therefore… 16 x 4 = 64cm 3

Calculate the volume of this cuboid.

Volume = l × w × h = 3cm × 3cm × 4cm = 9cm × 4cm = 36cm 3 4 cm 3cm 3cm

5cm 4cm 3cm Answer: Volume = l × w × h = 5cm × 4cm × 3cm = 20cm × 3cm = 60cm^3

Calculate the volume of the cube below: 10m 3