L = 30 - 2 h
w = 16 - 2 h
V = L * w * h
V = (30-2h)(16-2h)h
take dv / dh and set it to zero
use only resulting h values that do not give you negative w when you subtract 2 h from 16
What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-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.
1 answer
2 answers