Question
Rectangular sheet of metal 750mm by 300mm - find length of the sides of the squares to give max volume to the box, and find maximum volume of the box?
Answers
Steve
with height x mm,
v = (750-2x)(300-2x)x
= 4(x^3-525x^2+56250x)
dv/dx = 12(x^2-350x+18750)
dv/dx = 0 at x=175±25√19
now pick the one which provides a max, not a min.
v = (750-2x)(300-2x)x
= 4(x^3-525x^2+56250x)
dv/dx = 12(x^2-350x+18750)
dv/dx = 0 at x=175±25√19
now pick the one which provides a max, not a min.