Method #1 – Perimeter from the length of one side
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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
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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
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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
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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
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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