How to Find Volume and Surface Area of Cubes? (+FREE Worksheet!)

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Step by step guide to finding Volume and Surface Area of Cubes

• A cube is a three-dimensional solid object bounded by six square sides.
• Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid.
• Volume of a cube \(=\) (one side)\(^3\)
• surface area of cube \(=6×\) (one side)\(^2\)

Cubes – Example 1:

Find the volume and surface area of this cube.

Solution:

Use volume formula: volume \(=\) (one side)\(^3\)
Then: volume \(=\) (one side)\(^3=(4)^3=64\) \(cm^3\)
Use surface area formula: surface area of cube: \(=6\) (one side)\(^2\)
Then: surface area of cube \(=6\) (one side)\(^2=6(4)^2=6(16)=96\) \(cm^2\)

Cubes – Example 2:

Find the volume and surface area of this cube.

Solution:

Use volume formula: volume \(=\) (one side)\(^3\)
Then: volume \(=\) (one side)\(^3=(2)^3=8\) \(cm^3\)
Use surface area formula: surface area of cube: \(=6\) (one side)\(^2\)
Then: surface area of cube \(=6\) (one side)\(^2=6(2)^2=6(4)=24\) \(cm^2\)

Exercises for Finding Volume and Surface Area of Cubes

Find the volume of each cube.

Download Cubes Worksheet

1. \(\color{blue}{8 \ ft^3}\)
2. \(\color{blue}{125 \ m^3}\)
3. \(\color{blue}{27 \ in^3}\)
4. \(\color{blue}{216 \ miles^3}\)