volume = s * (20 - 2s) * (15 - 2s) = 300 s - 70 s^2 + 4 s^3
the 1st derivative will show the relative max/min
dv/ds = 300 - 140 s + 12 s^2
... set equal to zero and check for max/min , by plugging s into the volume equation
An open topped box is constructed from a 20 inch by 15 inch piece of cardboard by cutting equally sized squares from each corner and folding up the resulting flaps.
What is the maximum volume of the box? Be sure your answer is to this prompt!
Round your answer to the nearest whole number.
1 answer
1 answer