Card Box Net Activity Hands-On STEM
CARD BOX NET SHOWDOWN
Design and build your own custom Baseball Card Collector Box!
Roster Name:
Game Date: Inning: 1
STADIUM BUILDERS RULEBOOK:
Calculate the area of each face on the net below (use dimensions: Length = 5 cm, Width = 3 cm, Height = 4 cm).
Cut along the solid lines, fold along the dashed lines, and glue/tape the tabs inside!
2D Net Blueprint
TOP FACE Area: ______ cm² 5 cm × 3 cm
BACK FACE Area: ______ cm² 5 cm × 4 cm
GLUE TAB
GLUE TAB
LEFT FACE Area: ______ cm² 3 cm × 4 cm
FRONT FACE (BASE) Area: ______ cm² 5 cm × 4 cm
GLUE TAB
GLUE TAB
GLUE TAB
RIGHT FACE Area: ______ cm² 3 cm × 4 cm
BOTTOM FACE Area: ______ cm² 5 cm × 3 cm
Box Office Calculation Sheet
1. Sum of Top + Bottom Faces:
_______ cm² + _______ cm² = _______ cm²
3. Sum of Left + Right Faces:
_______ cm² + _______ cm² = _______ cm²
2. Sum of Front + Back Faces:
_______ cm² + _______ cm² = _______ cm²
4. GRAND TOTAL SURFACE AREA:
Total SA = _________________ cm²
Bullpen Warmup Worksheet Inning 1 Warm-up
BULLPEN WARMUP
Get your arm loose and your math sharp before we hit the field!
Player Name:
Date: Position: Pitcher
A
Measuring the Infield (2D Area)
Calculate the total square area for each baseball field zone below. Show your multiplying work!
Zone 1: Batter's Box
Length: 6 ft Width: 4 ft
Show Your Work:
Total Area: _________________ ft²
Zone 2: Dugout Floor
Length: 12 ft Width: 3 ft
Show Your Work:
Total Area: _________________ ft²
B
Anatomy of an Equipment Crate
Before we paint or cover a baseball equipment crate, we have to understand its 3-dimensional parts. Label the three main elements indicated below!
1. ____________
2. ____________
3. ____________
Match the vocabulary terms to the labeled items on the left:
FACE: A flat, 2D surface of a 3D figure.
EDGE: The line segment where two faces meet.
VERTEX: The corner point where edges meet.
4. Box Scouting Report:
How many total flat faces does a rectangular baseball card box or equipment crate have?
4 faces
6 faces
8 faces
12 faces
Coach's Math Strategy
"A solid 3D box always splits open into a flat 2D shape called a NET. If you calculate the individual area of every single 2D face and add them up, you get the SURFACE AREA. It's like finding how much leather is needed to cover a baseball's core!"
Crate Surface Practice Worksheet Inning 2 Practice
CRATE SURFACE PRACTICE
Step up to the plate and calculate surface areas for our team's locker equipment crates!
Player Name:
Date: Inning: 2
1
The Helmet Crate Net (Scaffolded Practice)
The team uses a specialty crate to ship protective helmets. Below is the flat net of the helmet crate. Calculate the area of each matching pair of faces, then sum them to find the total Surface Area.
BACK TOP FRONT BOTTOM LEFT RIGHT Length = 8 in Height = 5 in Width = 4 in
Top & Bottom Faces (8 in × 4 in)
Area = 2 × (_____ in × _____ in) = __________ in²
Front & Back Faces (8 in × 5 in)
Area = 2 × (_____ in × _____ in) = __________ in²
Left & Right Faces (4 in × 5 in)
Area = 2 × (_____ in × _____ in) = __________ in²
Total Surface Area: Sum of all parts = _________ in²
2
The Bat Shipping Sleeve (3D Prism Representation)
A cardboard sleeve is used to mail single collectible baseball bats. Calculate the surface area directly from the 3D diagram (remember there are six total faces!).
30 cm 5 cm 5 cm
Write the dimensions and find the area of each face type:
Top/Bottom: 2 × (___ × ___) = _____
Front/Back: 2 × (___ × ___) = _____
Left/Right: 2 × (___ × ___) = _____
Total Surface Area: SA = _________________ cm²
3
The Coach's Waterproof Chest (Critical Thinking Word Problem)
The head coach wants to seal the outer wooden surfaces of a solid equipment chest before leaving it out in the rain. The chest has a Length of 4 feet, a Width of 2 feet, and a Height of 3 feet.
Show your formula & multiplying work:
A. What is the total Surface Area of the chest? SA = _________________ ft²
B. If one can of sealer covers 50 ft², will one can be enough?
YES NO
Grand Slam Exit Ticket Championship Inning
GRAND SLAM EXIT TICKET
Roster Name: _______________________ Date: _________
Trophy Display Case
5 in 2 in 3 in
A single-ball baseball showcase cube has a Length of 5 in, a Width of 2 in, and a Height of 3 in. Show your calculating formula and find the total Surface Area.
Top + Bottom Areas: 2 × (___ × ___) = _____ in²
Front + Back Areas: 2 × (___ × ___) = _____ in²
Left + Right Areas: 2 × (___ × ___) = _____ in²
Grand Total SA: SA = _________ in²
Self Scouting Report:
Batting 1.000 (I totally got this!) On 3rd Base (Almost there) Stranded on 1st (Need help!)
Cut Along Dotted Line
Championship Inning
GRAND SLAM EXIT TICKET
Roster Name: _______________________ Date: _________
Trophy Display Case
5 in 2 in 3 in
A single-ball baseball showcase cube has a Length of 5 in, a Width of 2 in, and a Height of 3 in. Show your calculating formula and find the total Surface Area.
Top + Bottom Areas: 2 × (___ × ___) = _____ in²
Front + Back Areas: 2 × (___ × ___) = _____ in²
Left + Right Areas: 2 × (___ × ___) = _____ in²
Grand Total SA: SA = _________ in²
Self Scouting Report:
Batting 1.000 (I totally got this!) On 3rd Base (Almost there) Stranded on 1st (Need help!)
Pitchers Pacing Guide Teacher Coaching Playbook
PITCHER'S PACING GUIDE
Classroom Game Plan for introducing 3D Surface Area of Rectangular Prisms
Unit: Geometry 6.G.A.4
Duration: 60 Minutes
Saves: No Prep Required
Scouting Report & Goal
Students represent 3D rectangular solids (crates and collector boxes) using 2D net nets, calculate the individual rectangular faces, and sum them up to determine the total Surface Area (SA).
Key Math Vocabulary:
Net: A flat, 2D pattern that folds to form a 3D solid.
Materials & Field Prep
Bullpen Warmup Worksheet
Card Box Net Activity
Scissors, clear tape or glue sticks
Crate Surface Practice Sheet
Grand Slam Exit Ticket
The Game Pacing (60 Mins)
10 MINS
Inning 1: Bullpen Warmup
Distribute the Warmup sheet. Walk around to identify students who struggle with standard 2D area equations. Teacher Talk Move: "Think of a prism as a cardboard box. If you unfolded it completely flat, what shapes would you see? Correct—six rectangles."
25 MINS
Inning 2: Card Box Net Assembly & Calcs
Deliver standard net calculations. Show how matching pairs (Top/Bottom, Front/Back, Left/Right) are equivalent in rectangular prisms. Have students calculate individual areas first on their flat worksheets. Crucial Move: Ensure students calculate face areas before folding and taping, as once the box is built, writing becomes extremely difficult!
15 MINS
Inning 3: Crate Practice Run
Transition students from flat nets to standard 3D rectangular prism diagrams using the Practice Worksheet. Demonstrate the three multiplication components: \(2(l \times w) + 2(l \times h) + 2(w \times h)\).
10 MINS
Championship: Grand Slam Exit Ticket
Administer the Exit Ticket. Have students rate their understanding with the self scouting report. Use these self-ratings to form target support cohorts for tomorrow.
Scouting Report on Common Misconceptions
The "Only 3 Sides" Error:
Students often look at a 3D oblique drawing, calculate the three visible sides, add them, and stop. Remind them: "A true box has 6 total flat faces! If you can't see the bottom, it's still there!"
Exponent Confusion:
Students sometimes mix up volume (\(\text{cm}^3\)) and surface area (\(\text{cm}^2\)). Emphasize: "We are covering flat 2D cardboard pieces. Surface Area is always measured in square units (\(\text{cm}^2\))."
