# 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.

## 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.

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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