# Cube Side Calculator: Find the Length of a Cube's Sides

## Side

## Cube

## Cube side calculator

If you need to find the length of one of the sides of a cube, our free online cube side calculator can help. Simply input the known volume or surface area of the cube, and our calculator will find the length of the cube's sides.

## Cube Side Formulas

Since all faces of the cube are squares, the edge of the cube can be found in different ways.

### Through dioganal

By knowing the diagonal of the base, the edge of the cube will be equal to the diagonal of the fraction on the root of two. The formula is:

a = \dfrac{d}{\sqrt{2}}

where a is the length of one side, and s is the dioganal of the base of the cube.

### Through base area

In addition, the edge of the cube can be subtracted, knowing the area of the base, in this case, the edge will be equal to the square root of the base area. The formula is:

a = \sqrt{S_b}

where a is the length of one side, and S_{b} is the area of the base of the cube.

### Through lateral/total surface area

By knowing the lateral surface area, the edge of the cube will be equal to the square root of the area divided by 4. Or if the area of the full surface of the cube is indicated, the edge is the square root of the area divided by 6.

The formula to find the length of a cube's sides by lateral surface area:

a = \sqrt{\dfrac{S_l}{4}}

The formula to find the length of a cube's sides by total surface area is:

a = \sqrt{\dfrac{S}{6}}

where a is the length of one side, S_{l} and S are the lateral and total surface areas of the cube.

### Through volume of the cube

In this calculator, we calculate the edge of the cube from the volume. The formula to find the length of a cube's sides is:

a = \sqrt[3]{V}

where a is the length of one side, and V is the volume of the cube.

## Example Problems

Here are some examples of how to use the formula to find the length of a cube's sides.

### Example 1

Find the length of one side of a cube with a volume of 125 cubic units.

a = \sqrt[3]{V}

a = \sqrt[3]{125}

a = 5

Therefore, the length of one side of the cube is 5 units.

### Example 2

Find the length of one side of a cube with a total surface area of 150 square units.

a = \sqrt{\dfrac{S}{6}}

a = \sqrt{\dfrac{150}{6}}

a = \sqrt{25}

a = 5

Therefore, the length of one side of the cube is 5 units.

Use our free online calculator to find the length of the sides of a cube. Simply enter the known volume or surface area of the cube, and our calculator will do the math for you.

Using our calculator can save you time and prevent calculation errors. Try it out today!

- Area
- Volume
- Perimeter
- Side
- Height
- Diagonal
- Radius
- Median
- Bisector
- Angle
- Theorems