Sphere vs cube

How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?

Correct answer:

p =  63.662 %

Step-by-step explanation:

r=12 cm  S1=4π r2=4 3.1416 1221809.5574 cm2  a=2 r/3=2 12/3=8 3 cm13.8564 cm  S2=6 a2=6 13.85642=1152 cm  p=S2/S1 100=1152/1809.5574 100=63.662%

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