To find the edge length of a cube we will find the cube root of the volume of the cube or find the square root of one-fourth or one-sixth of the surface area.

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The edge length of a cube with lateral surface area = √(LSA of Cube/4)

The edge length of a cube formula with total surface area = √(TSA of Cube/6)

### How to find the edge length of a cube?

Let's take some examples:

1. How to find the edge of a cube if the volume is 512 cm cube.

Solve:

The edge length of a cube formula = (Volume of the cube)

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= (512)

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= (8³)⅓

= 8 cm.

The side length of a cube with volume is 8 cm.

2. If the lateral surface area of the cube is 16 cm². So what is the edge of a cube?

Solve:

The edge length of a cube = √(LSA of Cube/4)

= √(LSA of Cube/4)

= √(16/4)

= √(4)

= 2cm.

If the lateral surface area of the cube is 16 cm². So the edge length of the cube is 2cm.

3. The total surface area of the cube is 96 cm². Find the edge length of a cube?

Solve:

The edge length of a cube with total surface area = √(TSA of Cube/6)

= √(TSA of Cube/6)

= √(96/6)

= √(16)

= 4cm.

The total surface area of the cube is 96 cm². So the edge length of the cube is 4cm.