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In this class, you will learn the formula for Volume of Cube, a detailed description about the inputs in the formula, and how to use this formula to find the Volume of Cube for different sets of inputs.
Volume of Cube
The formula for Volume of Cube \(( V )\) using length of the side \((a)\) is:
\( V = \) \( a ^3 \)
where
- ' \( a \) ' is the length of the side in a cube.
Calculator
The following link takes you to Volume of Cube Calculator, where you can give the input values, and the calculator uses the formula to calculate the volume
Examples
We will go through some examples, of how to use the formula to find the Volume of Cube when length of the side \((a)\) is given.
1 Find Volume of Cube whose length of the side is 10 units.
Solution
Given:
\( ~ length~ ~ of~ ~ the~ ~ side~ ,~ a = 10~ units \)
We have to find the Volume of Cube using given length of the side.
Formula:
We know that the formula to find the Volume of Cube is
\( ~ Volume~ ,~ V = \) \( a ^3 \)
Substitution:
Substitute the given values in the above formula.
\( V = \) \( a ^3 \)
\( V = \) \( 10 ^3 \)
\( V = 1000 \) cubic units
Result:
\( V = 1000 \) cubic units
2 Find Volume of Cube whose length of the side is 4 units.
Solution
Given:
\( ~ length~ ~ of~ ~ the~ ~ side~ ,~ a = 4~ units \)
We have to find the Volume of Cube using given length of the side.
Formula:
We know that the formula to find the Volume of Cube is
\( ~ Volume~ ,~ V = \) \( a ^3 \)
Substitution:
Substitute the given values in the above formula.
\( V = \) \( a ^3 \)
\( V = \) \( 4 ^3 \)
\( V = 64 \) cubic units
Result:
\( V = 64 \) cubic units
3 Find Volume of Cube whose length of the side is 1.2 units.
Solution
Given:
\( ~ length~ ~ of~ ~ the~ ~ side~ ,~ a = 1.2~ units \)
We have to find the Volume of Cube using given length of the side.
Formula:
We know that the formula to find the Volume of Cube is
\( ~ Volume~ ,~ V = \) \( a ^3 \)
Substitution:
Substitute the given values in the above formula.
\( V = \) \( a ^3 \)
\( V = \) \( 1.2 ^3 \)
\( V = 1.728 \) cubic units
Result:
\( V = 1.728 \) cubic units