HW # Name: Tdu Making a Box d llow A certain manufacturing company takes a rectangular sheet of metal that is 30 cm by 12 cm and cuts(bold segments) and folds(dotted segments) it into a box (righ...
HW # Name: Tdu Making a Box d llow A certain manufacturing company takes a rectangular sheet of metal that is 30 cm by 12 cm and cuts(bold segments) and folds(dotted segments) it into a box (right rectangular prism) with a top. 1) Write a function that models the volume of the folded box. 2) What is the domain of the function that models the volume? Justify your solution. 3) What is the maximum volume? 4) What is the cut length that gives the maximum volume? Justify your solution. 5) What are the dimensions of the box that maximizes the volume? Justify your solution.
HW # Name: Tdu Making a Box d llow A certain manufacturing company takes a rectangular sheet of metal that is 30 cm by 12 cm and cuts(bold segments) and folds(dotted segments) it into a box (right rectangular prism) with a top. 1) Write a function that models the volume of the folded box. 2) What is the domain of the function that models the volume? Justify your solution. 3) What is the maximum volume? 4) What is the cut length that gives the maximum volume? Justify your solution. 5) What are the dimensions of the box that maximizes the volume? Justify your solution.