This cube calculator can find the surface area, volume, side lengths and diagonal lengths in different units of a cube if you know one of its variables/dimensions/sizes. Below the form you can find the formulas used.


Instruction: Please input below a single cube variable you know to get the values for all the other!

I know the value for:*

How does this cube calculator work?

This cube calculator allows you to determine any cube size in case you know either the side lengths (a), face diagonal (fd), solid diagonal (sd), volume (V) or its surface area (S) by applying the following formulas:

  • If side lengths (a) is given then:
    • Volume (V) = a3
    • Surface area (S) = 6a2
    • Face diagonal (fd) = a√2
    • Solid diagonal (sd) = a√3
  • In case the face diagonal is known then:
    • Side lengths (a) = fd/√2
    • Volume (V) = a3
    • Surface area (S) = 6a2
    • Solid diagonal (d) = a√3
  • In case solid diagonal is provided (sd) then:
    • Side lengths (a) = sd/√3
    • Volume (V) = a3
    • Surface area (S) = 6a2
    • Face diagonal (d) = a√2
  • If the surface area (S) is specified then:
    • Side lengths (a) = √(S/6)
    • Volume (V) = a3
    • Face diagonal (fd) = a√2
    • Solid diagonal (sd) = a√3
  • If Volume (V) is given then:
    • Side lengths (a) = 3√V
    • Surface area (S) = 6a2
    • Face diagonal (fd) = a√2
    • Solid diagonal (sd) = a√3

The units available in the form are: Millimeters (mm), Centimeters (cm), Inches (in), Feet (ft) and Meters (m). Please note that in case of surface area the units are in square, while in Volume they are expressed in cubic.

17 Apr, 2015 | 0 comments

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