Answer to Question #178457 in Calculus for Max

Question #178457

A box with a square base and with height f(x) is to be constructed so that it has a volume of 1000 cubic centimeters. What are the possible dimensions of the box?


Thank you so much!


1
Expert's answer
2021-04-15T17:12:20-0400

Let x cm=x\ cm= the side of the base, x>0.x>0. If the height of a box is f(x),f(x), then


x2f(x)=1000x^2f(x)=1000

f(x)=1000x2,x>0f(x)=\dfrac{1000}{x^2}, x>0


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