How to Calculate the Volume of a Cube

How to calculate cube volume

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.

One cubic meter is 1000 liters in volume.

Answer. The soccer pitch collected 88 000 liters of water on a rainy day.

Conclusion

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