Names of Group Members:
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
__________________________________________________________________
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Wrap It Up: A Geometry Challenge
You have been hired by My Brother’s Keeper, a non-profit
organization, to help them determine approximate cost and profit of
their holiday wrapping station for this year.
This organization wraps boxes (which are donated to their
organization at no cost to them) that are the following dimensions:
Box A = Rectangular Prism
27cm X 19.68cm X 2.86 cm
Box B = Rectangular Prism
36.2 cm X 23.97cm X 4.76 cm
Box C = Rectangular Prism
25.40 cm X 25.4 cm X 10.16 cm
The organization needs you to complete several tasks:
1. Create a Net (diagram) of each of the boxes, including the
dimensions of each side or edge. This must be drawn out on a
piece of colored OR wrapping paper, and must be drawn
accurately and to scale.
2. Determine the surface area of each of the boxes. (Use the Nets
you created in task #1 and the formulas listed below to help
you)
SURFACE AREA: To find surface area, find the area of ALL
faces on the 3D figure and add them together. Remember to
find area of a rectangle, multiply length times width.
Area of Rectangle = Length X Width
3. Determine the cost of wrapping each box.
The cost of wrapping paper is $.005 per square centimeter.
Assume you will need enough paper to cover the entire surface
of the box plus 20% of the surface to account for overlapping
on the ends and the back. Fill in your answers in the chart
below task #4.
(Hint: To find a percentage of another number, write the % as
a decimal and multiply it by the number. See example below.
20% of 525
.20 x 525 = 105
So 20% of 525 is 105
4. Create a pricing chart that shows the actual cost to wrap each
of the boxes and containers. Fill in your answers in the chart
below.
PRICING CHART
Box/ Container
Surface Area
20% of
Surface Area
Cost to wrap
Box A
Box B
Box C
5. Assuming My Brother’s Keeper wraps approximately the
number of boxes listed below, determine the cost to wrap each
type of box and calculate the total cost.
Estimated Overall Cost
Box/ Container
Box A
Box B
Box C
Approx. # of
Boxes
Cost per box
to wrap
Total Cost
To wrap all
boxes this size
175
200
250
TOTAL Cost:
6. If My Brother’s Keeper wants to charge 30% more than the
cost per package to wrap it, how much would they charge for
each box / container?
Charges Per Package
Box/ Container
Cost
30 % of Cost
Charge for
Wrapping
(Cost + 30%)
Box A
Box B
Box C
7. Determine how much money My Brother’s Keeper will make if
they wrap the number of boxes they are estimated to wrap?
Use the chart below to help you determine their total profit.
Estimated Overall Profit
Box
Box A
Box B
Box C
Approx. # of Total Cost
Charge for Profit For
Boxes
To wrap all boxes Wrapping each type
this size
box (ChargeCost)
175
200
250
TOTAL Cost:
Total Profit:
8. Select ONE box to wrap. Wrap the box using the wrapping
paper provided.
9. Now that you have calculated all the information, use the large
presentation paper given to you in class to put together a
presentation for My Brother’s Keeper.
10.
Your presentation MUST include the following
a.
b.
c.
d.
e.
f.
g.
Title
Names of ALL group members
NETS for all 3 boxes
Pricing Chart
Estimated Overall Cost Chart
Charges Per Package Chart
ONE wrapped package
BE CREATIVE in your presentation. Use colored markers, and
you may type and print your title, charts, etc. Use
decorations, drawings, etc. to improve the look of your
presentation.