Finding volume by counting cubes
The volume of an object measures the three dimensional (3D) amount of space it takes up. Volume is measured in cubes.
A cubic centimetre is the volume within a cube that has sides of length \({1~cm}\), as shown above. It has a volume of \({1~cm}^3\) (\(1~cm\) cubed).
This cuboid contains \(12\) cubes. Each cube has a volume of \({1~cm}^3\). So the volume of this cuboid is \({12~cm}^3\).
Question
Find the volume of the following cuboids:
a)
b)
a) \({8~cm}^3\)
b) There are two layers of nine cubes, so the volume is \({18~cm}^3\).
Question
Find the volume of the following 3D object.
Remember to count all the cubes, even those you can't see.
The top layer has \(1\,cm^{3}\).
The middle layer has \(3 \times 1\,cm^{3} = 3\,cm^{3}\).
The bottom layer has \(7 \times 1\,cm^{3} = 7\,cm^{3}\).
\(1 + 3 + 7 = 11~cm^{3}\)
