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
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