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 answer:

a =  4835.9759 m

Step-by-step explanation:

r=3000 m  V=34 π r3=34 3.1416 30003=113097335529.23 m3  V = abc = a3  a=3V=3113097335529.23=4835.9759 m



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: