Download Cereal Box Project

Pre-AP Pre-Calculus
Cereal Box Project
To make boxes for its products, a cereal company starts with a piece of cardboard that
measures __________________________. (Write in dimensions given to you by the teacher.)
The squares and corresponding rectangles are partially cut from the corners and used as
flaps. When folded up, the cardboard creates a box with a lid.
Write in your smaller dimension
Write in your larger dimension
G: Goal: Your task is to build a three dimensional cardboard box that provides a maximum amount of volume and is
visually appealing to customers.
R: Role: You are a product engineer for a cereal company.
A: Audience: Cereal consumers.
S: Situation: A cereal company is looking to revamp their packaging of various dry cereals. You are competing with your
fellow classmates for the best new design and presentation for a new container. Your container design should enhance
the customer’s desire to purchase your chosen food item. Because the cereal company wants to keep the packaging
costs down, you have a limited amount of material.
P: Product: Given a two dimensional, rectangular piece of cardboard with assigned dimensions, you need to develop a
three dimensional box with a lid. This box needs to hold a maximum volume of food. You will also find the surface area
and the domain for the situation and provide a graph that justifies the maximum volume and the domain.
S: Standards: Your three dimensional box design should… -Be created from poster board by cutting corners only, folding
to make the sides and top of the box, and only taping corners together. -Show the correct maximum volume with
justifiable work/calculations (including a graph). -Label the length, width and height of the box - correctly find the
surface area and domain. Then, in writing, give the cereal company another option of a box with the same volume but
less surface area. What is the size of the two dimensional cardboard needed to create this other option? Would you
advise the cereal company to use the box you built or this other option that has less surface area? (Do NOT build this
other option.) All work should be on outside of box. Create a nutrition label for important measurements.
The top 3 cereal box designs, as voted on by the cereal company (the class), will win the job
(5 points on this project grade)!
Grading Rubric
Name__________________________ Class Period ________
Elements
Possible Points
A box has been created by folding and
taping all corners together. The
Points Earned
10
dimensions given were used to create
the box from poster board.
The correct length, width, and height
have been defined, calculated,
20
measured, and labeled. Work shown.
The correct volume and domain for the
height have been calculated. Work &
20
graph shown.
The correct surface area has been
calculated with work shown.
Other dimensions with the same volume
but less surface area have been
20
20
calculated. Original size of poster board
that yields this volume and surface area
listed. Justification provided.
All of the box is decorated. Project is
neat and colorful. Work easy to find.
10
Directions followed. Rubric turned in
with project. (20 point deduction/late
day – due class period)
This project is worth half a test grade!
Final Grade = _________
This sheet needs to be turned in with your project on:
“A” Day Tuesday, October 11 and “B” Day Wednesday, October 12
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