Cube diagonals

The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.

Correct result:

a =  9 cm
u1 =  12.7279 cm
u2 =  15.5885 cm

Solution:

S1=81 cm2  a=S1=81=9 cm
u12=a2+a2=2 a2 u1=2⋅ a=2⋅ 9=9 2=12.7279 cm
u22=a2+a2+a2=3 a2 u2=3⋅ a=3⋅ 9=9 3=15.5885 cm

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very nice this calculator thnk

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