# How to Calculate the Volume of a Cube

To calculate the volume of a cube with a side length `a`

, use the following formula:

In other words, multiply the side length of the cube by itself three times.

But what if the sides are not equally long? Then we are talking about a cuboid, not a cube.

# How to Calculate Volume of a Cuboid

To calculate the volume of a cuboid, multiply the side lengths by one another using this formula:

Where `a`

,`b`

, and `c`

are lengths of the sides of the cube.

# Examples

**Example 1**

Find the volume of a cube with the side length `2`

.

**Solution.** Let’s substitute the side length into the cube volume equation:

**Answer.** The volume of this cube is 8.

**Example 2**

Find the volume of a cuboid with side lengths `1`

, `2`

, `3`

.

**Solution.** Let’s substitute the side lengths into the cuboid volume equation:

**Answer.** The volume of this cuboid is `6`

.

**Example 3**

What is the side length of a cube with a volume of `10`

?

**Solution. **To figure out the side length, you need to solve the variable `a`

in the cube volume equation.

To do this, take the 3rd root of both sides of the equation. This gives you:

**Answer. **The side length of a cube of volume 10 is approximately 2.15.

**Example 4**

On a rainy day, a soccer field of size `110m x 80m`

gets `1cm`

of percipitation. How many liters of water is there on the field?

**Solution. **The water layer and the field form a cuboid. The height of the cuboid is 1cm. This needs to be converted to meters to get the right answer. `1cm = 0.01m`

. Now you can plug in the cuboids measurements into the cuboid volume equation.

**Answer. **The soccer pitch collected `88 000`

liters of water on a rainy day.

# Conclusion

Thanks for reading, I hope you enjoy it!