How to Find Volume and Surface Area of Cubes

How to Find Volume and Surface Area of Cubes

Here you can learn how to find the volume and surface area of cubes using cubes volume and surface area formulas.

Related Topics

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)\(^2=6(4)^2=6(16)=96\) 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)\(^2=6(2)^2=6(4)=24\) 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. \(\color{blue}{216 \ miles^3}\)

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