Cube diagonal

Determine the length of the cube diagonal with edge 37 mm.

Correct result:

d =  64.086 mm

Solution:

a=37 mm s2=a2+a2=2a2  d2=a2+s2 d2=a2+2a2 d2=3a2  d=3 a=3 37=37 3=64.086 mma=37 \ \text{mm} \ \\ s^2=a^2+a^2=2a^2 \ \\ \ \\ d^2=a^2 + s^2 \ \\ d^2=a^2 + 2a^2 \ \\ d^2=3a^2 \ \\ \ \\ d=\sqrt{ 3 } \cdot \ a=\sqrt{ 3 } \cdot \ 37=37 \ \sqrt{ 3 }=64.086 \ \text{mm}



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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