Alien ship

The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the largest possible volume.

Correct result:

a =  4835.9759 m

Solution:

r=3000 m  V=43 π r3=43 3.1416 30003=113097335529 m3  V=abc=a3  a=V3=1130973355293=4835.9759 m



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