# Perimeter of a Cube

## Method #1 – Perimeter from the length of one side

### Formula – How to calculate the perimeter of a cube from the length of one side

Perimeter = Side x 12

##### Example

A cube has a side length of 10

Perimeter = 12 x 10 = 120

## Method #2 – Perimeter from the volume

### Formula – How to calculate the perimeter of the cube from the volume

Step 1 – Find the length of one side from the volume

Side = 3√Volume

Step 2 – Find the perimeter from the length of one side

Perimeter = 12 x Side

##### Example

A cube has a volume of 1,000

Side = 3√1000 = 10

Perimeter = 12 x 10 = 120

## Method #3 – Perimeter from the surface area

### Formula – How to calculate the perimeter of a cube from the surface area

Step 1 – Find the length of one side from the surface area

Side = √(Surface Area ÷ 6)

Step 2 – Find the perimeter from the length of one side

Perimeter = 12 x Side

##### Example

A cube has a surface area of 600

Side = √(600 ÷ 6) = √100 = 10

Perimeter = 12 x 10 = 120

## Method #4 – Perimeter from the interior diagonal

### Formula – How to calculate the perimeter of the cube from the interior diagonal

Step 1 – Find the length of one side from the interior diagonal

Side = Diagonal ÷ √3

Step 2 – Find the perimeter from the length of one side

Perimeter = 12 x Side

##### Example

A cube has an interior diagonal of 170

Side = 170 ÷ √3 = 170 ÷ 17.320508 = 9.81495

Perimeter = 12 x 9.81495 = 117.7794

## Method #5 – Perimeter from the face diagonal

### Formula – How to calculate the perimeter of the cube from the face diagonal

Step 1 – Find the length of one side from the face diagonal

Side = √(Diagonal2 ÷ 2)

Step 2 – Find the perimeter from the length of one side

Perimeter = 12 x Side

##### Example

A cube has an face diagonal of 14

Side = √(142 ÷ 2) = √(196 ÷ 2) = √98 = 9.89949

Perimeter = 12 x 9.89949 = 118.7939