Geometry

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# Volume of a Cube

## Cube Volume Formula

**V = a ^{3}**

Where

*V*is the volume and

*a*is the edge length.

### Example Problems

**Problem 1:**

Find the volume of a cube with an edge length of 5.

Solution:

1.) We can simply plug the edge length into the formula. This gives us:

V = a^{3}

V = (5)^{3} = 125

2.) **The volume of the cube is 125.**

**Problem 2:**

The volume of a cube is 343. What is the edge length?

Solution:

1.) Let’s plug the volume into the formula and then solve for the edge length *a*.

2.) V = a^{3}

343 = a^{3}^{3}√343 = a

a = 7

3.) **The edge length is 7.**