Box Boss Project Guide Box Boss Project
Lead Packaging Engineer Brief
Project Code
CHAIR-PKG-2026
Engineer Name
Assignment Date
The Mission
Our furniture manufacturing division, Apex Seating, has finalized the "Swift-Fold" chair design. Your goal is to design a rectangular prism box that fits the folded chair while minimizing material waste. You must provide precise calculations for cardboard needed (Surface Area) and storage space (Volume).
Product Specifications
The "Swift-Fold" Chair (Folded):
Height: 38 inches
Width: 18 inches
Depth: 2 inches
The 1-Inch Buffer Rule
To allow for protective padding, your box must include exactly 1 inch of buffer space added to each of the three dimensions above.
1 Final Box Dimensions
Input Results Below
Length (L)
Inches
Width (W)
Inches
Height (H)
Inches
Accuracy Check
Calculations must be performed to the nearest whole number. All final answers must include units.
Refer to these dimensions for all following calculations
2
Surface Area Analysis
Total Manufacturing Material Area
SA = 2(lw + lh + wh)
Show your work below (Show all 6 faces):
Final Result
Total Surface Area
in²
3
Volume Analysis
Shipping & Storage Capacity
V = l × w × h
Show your calculation steps below:
Final Result
Total Volume
in³
Phase 2: Design Blueprint
Cut Line
Fold Line
Sketch a 2D Net of your packaging design. Label all 6 faces with dimensions.
Engineering Reflection
Why must an engineer calculate both Surface Area and Volume before production?
Box Boss Guide A Box Boss Project
Lounge Series - Variation A
Project Code
LNG-VAR-A
Engineer Name
Assignment Date
The Mission
Our furniture manufacturing division, Apex Seating, has finalized the "Lounge-Flex" chair design. Your goal is to design a rectangular prism box that fits the folded chair while minimizing material waste. You must provide precise calculations for cardboard needed (Surface Area) and storage space (Volume).
Product Specifications
The "Lounge-Flex" Chair (Folded):
Height: 42 inches
Width: 24 inches
Depth: 4 inches
The 1-Inch Buffer Rule
To allow for protective padding, your box must include exactly 1 inch of buffer space added to each of the three dimensions above.
1 Final Box Dimensions
Input Results Below
Length (L)
Inches
Width (W)
Inches
Height (H)
Inches
Accuracy Check
Calculations must be performed to the nearest whole number. All final answers must include units.
Refer to these dimensions for all following calculations
2
Surface Area Analysis
Total Manufacturing Material Area
SA = 2(lw + lh + wh)
Show your work below (Show all 6 faces):
Final Result
Total Surface Area
in²
3
Volume Analysis
Shipping & Storage Capacity
V = l × w × h
Show your calculation steps below:
Final Result
Total Volume
in³
Phase 2: Design Blueprint
Cut Line
Fold Line
Sketch a 2D Net of your packaging design. Label all 6 faces with dimensions.
Engineering Reflection
Why must an engineer calculate both Surface Area and Volume before production?
Box Boss Intro Slides Box Boss
The Engineering Challenge
Apex Seating Division | 2026
The Problem
We've designed the perfect seating solutions. Now, we need a way to ship them safely to our global customers.
The Mission:
"Minimize material costs while maximizing shipping efficiency."
Empty Shipping Fleet Awaiting Specs
Project Assignments
Your engineering team will be assigned one of three unique seating products to package:
Lounge
Variation A
Stool
Variation B
Elevate
Variation C
Refer to your specific Project Guide for dimensions.
The Buffer Rule
"To ensure protection, the package must be exactly 1 inch larger than the product in every dimension."
Original
Product Dim
Buffer
1"
Final
Box Dim
Engineering Objectives
Surface Area
How much material is needed to manufacture one box?
2(lw + lh + wh)
Volume
How much space will this occupy during shipping?
l × w × h
PROCEED TO DESIGN PHASE
Box Boss Guide B Box Boss Project
Stool Series - Variation B
Project Code
STL-VAR-B
Engineer Name
Assignment Date
The Mission
Our furniture manufacturing division, Apex Seating, has finalized the "Swift-Stool" design. Your goal is to design a rectangular prism box that fits the folded stool while minimizing material waste. You must provide precise calculations for cardboard needed (Surface Area) and storage space (Volume).
Product Specifications
The "Swift-Stool" (Folded):
Height: 24 inches
Width: 12 inches
Depth: 3 inches
The 1-Inch Buffer Rule
To allow for protective padding, your box must include exactly 1 inch of buffer space added to each of the three dimensions above.
1 Final Box Dimensions
Input Results Below
Length (L)
Inches
Width (W)
Inches
Height (H)
Inches
Accuracy Check
Calculations must be performed to the nearest whole number. All final answers must include units.
Refer to these dimensions for all following calculations
2
Surface Area Analysis
Total Manufacturing Material Area
SA = 2(lw + lh + wh)
Show your work below (Show all 6 faces):
Final Result
Total Surface Area
in²
3
Volume Analysis
Shipping & Storage Capacity
V = l × w × h
Show your calculation steps below:
Final Result
Total Volume
in³
Phase 2: Design Blueprint
Cut Line
Fold Line
Sketch a 2D Net of your packaging design. Label all 6 faces with dimensions.
Engineering Reflection
Why must an engineer calculate both Surface Area and Volume before production?
Box Boss Guide C Box Boss Project
Elevate Series - Variation C
Project Code
ELV-VAR-C
Engineer Name
Assignment Date
The Mission
Our furniture manufacturing division, Apex Seating, has finalized the "Sky-High" bar chair design. Your goal is to design a rectangular prism box that fits the folded chair while minimizing material waste. You must provide precise calculations for cardboard needed (Surface Area) and storage space (Volume).
Product Specifications
The "Sky-High" Chair (Folded):
Height: 48 inches
Width: 16 inches
Depth: 5 inches
The 1-Inch Buffer Rule
To allow for protective padding, your box must include exactly 1 inch of buffer space added to each of the three dimensions above.
1 Final Box Dimensions
Input Results Below
Length (L)
Inches
Width (W)
Inches
Height (H)
Inches
Accuracy Check
Calculations must be performed to the nearest whole number. All final answers must include units.
Refer to these dimensions for all following calculations
2
Surface Area Analysis
Total Manufacturing Material Area
SA = 2(lw + lh + wh)
Show your work below (Show all 6 faces):
Final Result
Total Surface Area
in²
3
Volume Analysis
Shipping & Storage Capacity
V = l × w × h
Show your calculation steps below:
Final Result
Total Volume
in³
Phase 2: Design Blueprint
Cut Line
Fold Line
Sketch a 2D Net of your packaging design. Label all 6 faces with dimensions.
Engineering Reflection
Why must an engineer calculate both Surface Area and Volume before production?
Box Boss Key A Answer Key: Variation A
Lounge-Flex Series Solution Set
Teacher Resource
Phase 1: Dimensions
Chair Dimensions:
Height: 42"
Width: 24"
Depth: 4"
Box Dimensions (+1" Buffer):
L: 43 in
W: 25 in
H: 5 in
Surface Area Key
Formula: SA = 2(lw + lh + wh)
Detailed Steps:
1. (43 × 25) = 1075
2. (43 × 5) = 215
3. (25 × 5) = 125
4. (1075 + 215 + 125) = 1415
5. (1415 × 2) = 2830
Correct Total SA
2,830 in²
Volume Key
Formula: V = l × w × h
Detailed Steps:
1. 43 × 25 = 1075
2. 1075 × 5 = 5375
Correct Total Volume
5,375 in³
Expected Reflection Content
Surface Area is critical for production costs—it tells the factory exactly how much raw cardboard must be purchased per unit.Volume is critical for shipping logistics—it determines how many products can fit into a single shipping container or delivery truck. Box Boss Teacher Key Box Boss Answer Key
Lead Packaging Engineer Solution Set
Teacher Resource
Phase 1: Dimensions
Chair Dimensions:
Height: 38"
Width: 18"
Depth: 2"
Box Dimensions (+1" Buffer):
L: 39 in
W: 19 in
H: 3 in
Surface Area Key
Formula: SA = 2(lw + lh + wh)
Detailed Steps:
1. (39 × 19) = 741
2. (39 × 3) = 117
3. (19 × 3) = 57
4. (741 + 117 + 57) = 915
5. (915 × 2) = 1830
Correct Total SA
1,830 in²
Volume Key
Formula: V = l × w × h
Detailed Steps:
1. 39 × 19 = 741
2. 741 × 3 = 2223
Correct Total Volume
2,223 in³
Expected Reflection Content
Surface Area is critical for production costs—it tells the factory exactly how much raw cardboard must be purchased per unit.Volume is critical for shipping logistics—it determines how many products can fit into a single shipping container or delivery truck. Box Boss Key B Answer Key: Variation B
Swift-Stool Series Solution Set
Teacher Resource
Phase 1: Dimensions
Chair Dimensions:
Height: 24"
Width: 12"
Depth: 3"
Box Dimensions (+1" Buffer):
L: 25 in
W: 13 in
H: 4 in
Surface Area Key
Formula: SA = 2(lw + lh + wh)
Detailed Steps:
1. (25 × 13) = 325
2. (25 × 4) = 100
3. (13 × 4) = 52
4. (325 + 100 + 52) = 477
5. (477 × 2) = 954
Correct Total SA
954 in²
Volume Key
Formula: V = l × w × h
Detailed Steps:
1. 25 × 13 = 325
2. 325 × 4 = 1300
Correct Total Volume
1,300 in³
Expected Reflection Content
Surface Area is critical for production costs—it tells the factory exactly how much raw cardboard must be purchased per unit.Volume is critical for shipping logistics—it determines how many products can fit into a single shipping container or delivery truck. Box Boss Key C Answer Key: Variation C
Sky-High Series Solution Set
Teacher Resource
Phase 1: Dimensions
Chair Dimensions:
Height: 48"
Width: 16"
Depth: 5"
Box Dimensions (+1" Buffer):
L: 49 in
W: 17 in
H: 6 in
Surface Area Key
Formula: SA = 2(lw + lh + wh)
Detailed Steps:
1. (49 × 17) = 833
2. (49 × 6) = 294
3. (17 × 6) = 102
4. (833 + 294 + 102) = 1229
5. (1229 × 2) = 2458
Correct Total SA
2,458 in²
Volume Key
Formula: V = l × w × h
Detailed Steps:
1. 49 × 17 = 833
2. 833 × 6 = 4998
Correct Total Volume
4,998 in³
Expected Reflection Content
Surface Area is critical for production costs—it tells the factory exactly how much raw cardboard must be purchased per unit.Volume is critical for shipping logistics—it determines how many products can fit into a single shipping container or delivery truck. 
