| PROJECT OVERVIEW |
| RESEARCH COMPONENT |
| GEOMETRY CONNECTION |
| ASSESSMENT COMPONENT |
Texas Essential Knowledge and Skills (TEKS) Objectives:
(b)2B The learner will make and verify conjectures about geometric figures.The purpose of this activity is to integrate real experiences and applications by exposing students (grade level 10 - 12) to some of the considerations that are important to consumer economics in the design of beverage containers. Students will use the internet (pre-selected sites) to research bottling and package design. Students will consider consider several differently shaped bottles. They will determine the volume of each container and use the surface area formulas to compare the amount of plastic needed to produce the bottles. Students will also consider production costs, storage and practicality of the design. Finally, students will design and sketch a bottle/packaging for a new beverage.
(b)4 The learner will use representations to solve problems.
(d)1C The learner will use views of 3D objects to solve problems.
(e)1D The learner will find the volumes, lateral areas, and surface areas of prisms and cylinders.
(e)2D The learner will analyze the parts of prisms and cylinders.
Research: Bottling & Consumer Economics
Many beverages are sold in
cylindrical bottles. However, some manufacturers use other shapes
to make their products more practical or appealing. Check out these
web sites:
Axion Design
Write a one page summary
of your findings. Discuss the methods that companies use to design
and package products. Which type of bottle do you think costs less
to make? Which do you think is easier to store? Overall, which
design do you think is more practical and why?
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Geometry Connections: Consumer Economics
1.a.
A cylindrical 400 ml bottle has a diameter of 2 1/4 in. and a height of
6 1/8 in. Find the volume of the bottle in cubic inches.
b. Use
the conversion factor (1ml/0.061 in3) to check your answer in
part a.
2. One brand of spring water comes i n a bottle in the shape of a regular triangular prism. The bottle just fits in a cup holder in a car. The cup holder is circular with diameter 3 1/2 in.
a. The height of an equilateral triangle is one and one half times the radius of the triangle. Find the length of each side of the base of the triangular bottle.
b.
How tall does the bottle have to be to hold 400 ml of water. How
do you know?
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Imagine you are a packaging consultant/designer for Containers-R-Us. Your task is to design a container for a new beverage (water, juice or soda). You will need to submit the following: