Question

What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative. Give one decimal place in your final answer.

Answer 1

v = (12-2x)(16-2x)x
dv/dx = 4(3x^2-28x+48)

set dv/dx=0 and solve for x.