L.O. To find the volume of cubes and cuboids.
For some of this lesson you will need cubes of some sort, ideally multilink. If you do not have coloured cubes, you could alternatively draw your own onto paper to help you to visualise.
Make a cuboid which measures 2 by 3 by 5 cubes. How many cubes are in the base? How many layers? How many cubes in the whole cuboid? 2, 3 and 5 multiply together to make 30. What do you notice about these 3 numbers? They are the prime factors of 30. This is the smallest cuboid that can be made using three different prime numbers.
Use 3D boxes using the link attached. Find how many cubes are in the shape. Repeat several times. How many are in the bottom layer of the cuboid? How many layers are there? So how many cubes all together?
When you multiply the length by the width by the height/breadth, your answer will be in cm3.
Example: Length = 10cm width = 5cm height = 3cm
10 x 5 x 3 = 150cm3
Activity
Challenge 1 Sketch four different cuboids and label three different dimensions (each less than 10cm). Estimate the volume of each and then calculate.
Challenge 2: Investigate which cuboids could have a volume of 24cm3.