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Side of a Cube

Method #1 – Side from the volume

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Formula – How to calculate the side of the cube from the volume

Side = 3√Volume

Example

A cube has a volume of 1,000

Side = 3√1000 = 10

Method #2 – Side from the surface area

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

Side = √(Surface Area ÷ 6)

Example

A cube has a surface area of 600

Side = √(600 ÷ 6) = √100 = 10

Method #3 – Side from the perimeter

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Formula – How to calculate the side of the cube from the perimeter

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

Side = Perimeter ÷ 12

Example

A cube has a perimeter of 120

Side = 120 ÷ 12 = 10

Method #4 – Side from the interior diagonal

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Formula – How to calculate the side of the cube from the interior diagonal

Side = Diagonal ÷ √3

Example

A cube has an interior diagonal of 14

Side = 14 ÷ √3 = 14 ÷ 1.4422 = 9.7074

Method #5 – Side from the face diagonal

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Formula – How to calculate the side of a cube from the face diagonal

Side = √(Diagonal2 ÷ 2)

Example

A cube has a face diagonal of 14

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