Method #1 – Volume from the length of one side
Calculator
Formula – How to calculate the volume of the cube from the length of one side
Volume = Side3
Example
A cube has a side length of 10
Volume = 103 = 10 x 10 x 10 = 1,000
Method #2 – Volume from the surface area
Calculator
Formula – How to calculate the volume of the 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 volume from the length of one side
Volume = Side3
Example
A cube has a surface area of 600
Side = √(600÷ 6) = √100 = 10
Volume = 103 = 1,000
Method #3 – Volume from the perimeter
Calculator
Formula – How to calculate the volume of the cube from the perimeter
Step 1 – Find the length of one side from the perimeter
Side = Perimeter ÷ 12
Step 2 – Find the volume from the length of one side
Volume = Side3
Example
A cube has a perimeter of 1,200
Side = 1,200 ÷ 12 = 100
Volume = 103 = 1,000
Method #4 – Volume from the interior diagonal
Calculator
Formula – How to calculate the volume 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 volume from the length of one side
Volume = Side3
Example
A cube has an interior diagonal of 170
Side = 170 ÷ √3 = 170 ÷ 17.320508 = 9.81495
Volume = 9.814953 = 945.50597
Method #5 – Volume from the face diagonal
Calculator
Formula – How to calculate the volume 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 volume from the length of one side
Volume = Side3
Example
A cube has an face diagonal of 14
Side = √(142 ÷ 2) = √(196 ÷ 2) = √98 = 9.89949
Volume = 9.899493 = 970.149052