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This cube is a special type of cuboid or rectangular prism. If your student does not understand why a cube, is also a prism I highly recommend you go to our explanation first.
To be comfortable calculating volume and surface area, your child should be comfortable with multiplication as well as addition and applying this knowledge to 2d geometry shapes.
We know that a cube is made up of six square faces.
Looking at the image to the left, you can see that I am referring to the three measurements as:
We know that a cube is in fact a cuboid, and the surface area of a cuboid is:
2lh + 2lb + 2bh
Because l, b and h are all equal in a cube this equation can be changed to:2l2 + 2l2 + 2l2
This can be further simplified to:6l2
Looking at this image, we can see that there are three individual measurements on a cube.
However, as with calculating the surface area, we need to take note that even though there is length, breadth and height - in a cube, these measurements are all equal.
The volume is:
Length x Breadth x Height
or to abbreviate it further:V = lbh Units Cubed
Since l, b and h all have the same value, we can further abbreviate this to:V = l3
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