How to Find Volume and Surface Area of Cubes? (+FREE Worksheet!)
Here you can learn how to find the volume and surface area of cubes using cubes volume and surface area formulas.
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Step-by-step guide to finding the 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)\(^2\)
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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
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Find the volume of each cube.
Download Cubes Worksheet
- \(\color{blue}{8 \ ft^3}\)
- \(\color{blue}{125 \ m^3}\)
- \(\color{blue}{27 \ in^3}\)
- \(\color{blue}{216 \ miles^3}\)
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