A square based rectangular prism is to have surface area of 250cm^2 and volume Vcm^3.
I) show V =( 125x-x^3)/2
I get this part but I don’t get part II
II) find the dimensions for maximum volume.
I got the derivative and let it equal zero and got x = root 125/3. Then I got V’’ and found that it is less than zero and therefore a max but how do I get the dimensions. I know the length and width is just root 125/3 but what is the height
I) show V =( 125x-x^3)/2
I get this part but I don’t get part II
II) find the dimensions for maximum volume.
I got the derivative and let it equal zero and got x = root 125/3. Then I got V’’ and found that it is less than zero and therefore a max but how do I get the dimensions. I know the length and width is just root 125/3 but what is the height
