Name: ____________________________
Per: _________ Date: _______________
Take a moment to think about the following vocabulary terms. Write everything you
know about each one. Then answer the questions on the back of this sheet.
Perimeter:
Area:
Volume:
Name: ____________________________
Per: _________ Date: _______________
Take a moment to think about the following vocabulary terms. Write everything you
know about each one. Then answer the questions on the back of this sheet.
Perimeter:
Area:
Volume:
Designing Boxes
Student Material-1 Page 1 of 10
1. Find the missing side length.
9
2. If the area of a rectangle is
four times larger than another,
how much longer would you
expect its side length to be if
the rectangles are similar?
3. Find the missing side length.
10
26
12
10
9
26
12
Name: ___________________________
1. Find the missing side length.
Designing Boxes
2. If the area of a rectangle is
four times larger than another,
how much longer would you
expect its side length to be if
the rectangles are similar?
3. Find the missing side length.
Student Material-1 Page 2 of 10
Circle your group letter
A
B
C
Per: _______ Date: ________________
Welcome to the Acme Box Company (ABC) team. Before moving into the design
department and meeting customer demands, we are going to look at the basic
properties of all boxes. Your team will be given a number of tasks to complete in order
to understand how box designers work. As you are given each scenario, be sure to
keep an organized list of your results so the whole team can learn from your work.
Your task will be to calculate the Total Edge Length and Total Surface Area of 3 cubes.
Box #1
Box #2
Box #3
Edge Length
Total Edge Length
Total Surface Area
The Cube
The Net
Clearly explain below how your team found the values you entered into the table.
Find formulas that can be used to find the total edge length and the total surface area of
the cube if you know the edge length. Use “s” as your variable for edge length.
Designing Boxes
Student Material-1 Page 3 of 10
Circle your group letter
D
E
Name: ___________________________
F
Per: _______ Date: ________________
Welcome to the Acme Box Company (ABC) team. Before moving into the design
department and meeting customer demands, we are going to look at the basic
properties of all boxes. Your team will be given two tasks to complete in order to
understand how box designers work. As you are given each scenario, be sure to keep
an organized list of your results so the whole team can learn from your work.
Your task will be to calculate the Single Face Area and Volume of 3 cubes.
Box #1
Box #2
Box #3
Edge Length
Total Edge Length
Total Surface Area
The Cube
The Net
Clearly explain below how your team found the values you entered into the table.
Find a formula that can be used to find the single face area and the volume of the cube
if you know the edge length. Use “s” as your variable for edge length.
Designing Boxes
Student Material-1 Page 4 of 10
Circle your group letter
G
H
Name: ___________________________
I
Per: _______ Date: ________________
Welcome to the Acme Box Company (ABC) team. Before moving into the design
department and meeting customer demands, we are going to look at the basic
properties of all boxes. Your team will be given a number of tasks to complete in order
to understand how box designers work. As you are given each scenario, be sure to
keep an organized list of your results so the whole team can learn from your work.
Your task will be to calculate the Length of the Diagonal of the cube of 3 cubes. This is
the distance from one vertex, through the center of the cube to the opposite vertex.
Box #1
Box #2
Box #3
Edge Length
Length of Diagonal
The Cube
The Net
Explain below how your team found the values you entered into the table.
Find a formula that can be used to find the length of the diagonal if you know the edge
length. Use “s” as your variable for edge length.
Designing Boxes
Student Material-1 Page 5 of 10
Acme Box Company Cube Compilation Sheet
Edge
Length
1cm
Name:
2 cm 3 cm 4 cm 5 cm 6 cm 7 cm 8 cm 9 cm s
Total Edge
Length
Face Area
Total
Surface
Area
Volume
Diagonal
_________________________________
Look carefully at the table and look for patterns in the dimensions. Your work will
benefit from seeing how the length of the edge affects the various measurements. Use
the table to answer the questions below.
1. Describe the change in the Face Area as the Length of an Edge doubles.
2. Describe the change in the Face Area as the Length of an Edge triples.
3. Describe the change in the Face Area if the Length of an Edge were to be made
15 times longer?
4. Describe the change in the Volume as the Length of an Edge doubles.
5. Describe the change in the Volume as the Length of an Edge triples.
6. Describe the change in the Volume if the Length of an Edge were to be made 15
times larger?
Designing Boxes
Student Material-1 Page 6 of 10
A B C
CME
OX
O.
Customer Request:
A=
__________________
B =
__________________
c =
__________________
d =
__________________
c
d
S.A. = __________________
b
Vol. = __________________
a
Cost = __________________
Material Cost: ______________
Additional Request(s): ______________________________________________
A B C
CME
OX
O.
Customer Request:
A=
__________________
b =
__________________
c =
__________________
d =
__________________
c
d
S.A. = __________________
b
Vol. = __________________
a
Cost = __________________
Material Cost: ______________
Designing Boxes
Student Material-1 Page 7 of 10
Additional Request(s): ______________________________________________
Designing Boxes
Student Material-1 Page 8 of 10
A B C
CME
OX
O.
Workorder:
Enter the requested values from your customer request form in the list and calculate the
missing values.
Draw a net of the container on the back of this sheet.
Customer Request:
a=
__________________
b=
__________________
c=
__________________
d=
__________________
c
d
S.A. = __________________
b
Vol. = __________________
a
Cost = __________________
Material Cost: ______________
Calculations:
Designing Boxes
Student Material-1 Page 9 of 10
Draw a net of your container and include all measurements:
Designing Boxes
Student Material-1 Page 10 of 10