Method #1 – Surface area from the length of one side
Calculator
Formula – How to calculate the surface area of a cube from the length of one side
Surface Area = 6 x Side2
Example
A cube has a side length of 10
Surface Area = 6 x 102 = 6 x 100 = 600
Method #2 – Surface area from the volume
Calculator
Formula – How to calculate the surface area of the cube from the volume
Step 1 – Find the length of one side from the volume
Side = 3√Volume
Step 2 – Find the surface area from the length of one side
Surface Area = 6 x Side2
Example
A cube has a volume of 1,000
Side = 3√1000 = 10
Surface Area = 6 x 102 = 6 x 100 = 600
Method #3 – Surface area from the perimeter
Calculator
Formula – How to calculate the surface area of a cube from the perimeter
Step 1 – Find the length of one side from the perimeter
Side = Perimeter ÷ 12
Step 2 – Find the surface area from the length of one side
Surface Area = 6 x Side2
Example
A cube has a perimeter of 1,200
Side = 1,200 ÷ 12 = 100
Surface Area = 6 x 102 = 6 x 100 = 600
Method #4 – Surface area from the interior diagonal
Calculator
Formula – How to calculate the surface area 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 surface area from the length of one side
Surface Area = 6 x Side2
Example
A cube has an interior diagonal of 170
Side = 170 ÷ √3 = 170 ÷ 17.320508 = 9.81495
Surface Area = 6 x 9.814952 = 6 x 96.33324 = 577.9994
Method #5 – Surface area from the face diagonal
Calculator
Formula – How to calculate the surface area of the cube from the face diagonal
Step 1 – Find the length of one side from the interior diagonal
Side = √(Diagonal2 ÷ 2)
Step 2 – Find the surface area from the length of one side
Surface Area = 6 x Side2
Example
A cube has an face diagonal of 14
Side = √(142 ÷ 2) = √(196 ÷ 2) = √98 = 9.89949
Surface area = 6 x 9.899492 = 6 x 97.99990 = 587.9994