Box Project
Miller’s Fine Foods wants to create box for macaroni and cheese that will enclose 24 cubic inches.
They call on your industrial engineering firm to design a package. The project is assigned to you.
1. Design 3 boxes with different dimensions that would meet the needs of Miller’s Fine Foods for
macaroni and cheese.
2. Which one of your boxes would use the least material to make? __________________________
Support your answer using words, numbers and/or diagrams.
3. You found a low bid for cardboard that costs $0.0035 per square inch. How much would your
macaroni box cost to produce? ________________________________________________________
Support your answer using words, numbers and/or diagrams.
Retrieved from Spokane Public Schools
4. In #3 you calculated the theoretical surface area needed to build the box. Draw a net for your box
that could be cut out of cardboard that includes the reality of needing overlapping sides to properly
close the box. Be sure to include fully overlapping tabs that could be glued to hold your box
together. Calculate the new area and new price to make the box.
New Area: ________________________
New Price: ___________________________
5. Miller’s Fine Foods wants to ship their macaroni in containers that will hold 24 boxes of the size
you chose for #2.
a. What could be the dimensions of the shipping box be? ______________________________
Support your answer using words, numbers and/or diagrams.
b. How many cubic yards would that box hold? ______________________________________
Support your answer using words, numbers and/or diagrams.
6. Miller’s Fine Foods also markets a family size box of macaroni and cheese in a box that has to
hold 72 cubic inches. How would you have to change the dimensions of the box you originally
designed to hold that amount?
Retrieved from Spokane Public Schools
7. How much cardboard would your new, larger box take to make? __________________________
Support your answer using words, numbers and/or diagrams.
8. How much would it cost to make? ___________________________________________________
Support your answer using words, numbers and/or diagrams.
9. Prepare a proposal showing the CEO of Miller’s Fine Foods your three examples and your final
products. Give the CEO a complete statement showing the cost of cardboard and the dimensions of
the box necessary for shipping. Write a paragraph explaining why you chose the boxes to present to
her.
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
Retrieved from Spokane Public Schools
10. Tina has built a window flower box. The rectangular box measures 2
1
1
feet long by foot deep
2
2
by 1 foot wide.
Which is the amount of potting soil she will need to completely fill this flower box?
O A.
O B.
O C.
O D.
1
cubic feet
4
5
1 cubic feet
4
4 cubic feet
1
4 cubic feet
4
1
11. The volume of a cylinder is found by using the formula V   r 2 h .
Which accurately compares the volumes of cylinder A
and cylinder B?
O
O
O
O
A.
B.
C.
D.
The volume of cylinder A is larger.
The volume of cylinder B is larger.
It is not possible to compare the volumes.
The volumes of cylinder A and cylinder B are
the same.
12. An outside concrete playing area is being added to a school. The contractor dug an area 40 feet
long, 40 feet wide, and 6 inches deep.
Which is the volume of cement needed to construct the concrete play area?
O A.
O B.
O C.
O D.
400 ft 3
800 ft 3
4800 ft 3
9600 ft 3
Retrieved from Spokane Public Schools