Cube Surface Practice Packet
Math Lab • Visual Review
Surface Area of a Cube
Name:
Date:
What is Surface Area?
Imagine wrapping a cube-shaped gift box. Surface Area is the total amount of flat paper needed to cover all the outside faces without overlapping!
Visual Discovery: Unfolding a Cube
All 6 Faces are Identical Squares!
3D Solid Cube side (s) side (s) side (s)
6 flat square faces • All sides equal
Unfolded Flat Net (6 Squares) 1 2 3 4 5 6 6 equal squares
Total Surface Area = Area of all 6 squares added!
The 2-Step Routine (Always the Same!)
1 Find 1 Face Area
Each face is a square. Multiply side by side:
Area of 1 Face = side × side
2 Multiply by 6 Faces
There are 6 matching faces on every cube:
Total SA = 6 × (Area of 1 Face)
Walkthrough Model: Playing Die Side length \(s = 3\text{ cm}\)
\(s = 3\text{ cm}\)
Step 1: Area of 1 Face \(= 3\text{ cm} \times 3\text{ cm} =\) \(9\text{ cm}^2\)
Step 2: Total Surface Area \(= 6 \times 9\text{ cm}^2 =\) \(54\text{ cm}^2\)
Page 1 • Visual Concept & 2-Step Routine • Cube Surface Practice Packet
Guided Practice
Step-by-Step Problem Solving
Routine Reminder:
1 Face \((s \times s)\) → Then \(\times 6\)
1 Mini Puzzle Cube • Edge length \(s = 2\text{ cm}\)
Follow the prompt lines
\(s = 2\text{ cm}\)
Step 1: Area of 1 face = \(2\text{ cm} \times 2\text{ cm}\)
= \(\text{cm}^2\)
Step 2: Total Surface Area = \(6 \times \text{[answer from step 1]}\)
= \(\text{cm}^2\)
2 Wooden Toy Block • Edge length \(s = 4\text{ in}\)
Show both steps below
A B \(s = 4\text{ in}\)
Step 1: One Face Area
side × side =
Step 2: Total (6 Faces)
6 × face area =
3 Cube Gift Box • Edge length \(s = 5\text{ cm}\)
Fill in the boxes
\(s = 5\text{ cm}\)
Step 1: One Face Area
____ × ____ =
Step 2: Total (6 Faces)
6 × ____ =
Self-Check Secret: Does your final answer have square units like \(\text{cm}^2\) or \(\text{in}^2\)? Surface area is always measured in square units because we are counting flat squares on the outside!
Page 2 • Guided Practice • Cube Surface Practice Packet
Independent Work
Practice & Reasoning
Use the 2-Step Routine
4 Flat Net Model • Edge length \(s = 10\text{ cm}\)
10 cm Unfolded cardboard box
a. What is the area of ONE square face?
\(\text{cm}^2\)
b. What is the TOTAL surface area of all 6 faces?
\(\text{cm}^2\)
5 Wrapping a Present
Word Problem
Sam is wrapping a cube-shaped gift with side length \(6\text{ inches}\). How many square inches of wrapping paper are needed to cover the entire box?
Step 1: Area of 1 Face
Step 2: Total for 6 Faces
Final Answer: \(\text{in}^2\)
6 Reverse Thinking Check
The area of one face of a cube is already found to be \(16\text{ cm}^2\). What is the total surface area of the cube?
A \(64\text{ cm}^2\)
B \(96\text{ cm}^2\)
C \(36\text{ cm}^2\)
D \(256\text{ cm}^2\)
7 Concept True or False • Circle T or F
Every cube has exactly 6 identical square faces.
T F
To find total surface area, you multiply the side length by 6.
T F
Page 3 • Independent Practice • Cube Surface Practice Packet
Final Check
Surface Area Exit Ticket
Score ____ / 4
Name:
Class Period:
1 Net Inspector: Which diagram can fold into a complete closed cube?
Circle the correct letter. (Hint: count the square faces!)
Option A (5 squares)
Option B (6 squares)
Option C (4 squares)
2 Solve: Find the Surface Area
Side \(s = 1\text{ cm}\)
A small sugar cube has an edge length of \(1\text{ cm}\). Calculate its total surface area.
Step 1: Area of 1 Face
Step 2: Total for 6 Faces
3 Spot the Mistake!
Leo solved the surface area of a cube with side \(s = 5\text{ cm}\):
Step 1: \(5 \times 5 = 25\text{ cm}^2\)
Step 2: \(25 \times 4 = 100\text{ cm}^2\) ← Leo's Answer
What did Leo do wrong, and what is the correct total surface area?
How confident do you feel finding the surface area of a cube?
🤔 Need More Help
👍 Getting There
⭐ I Can Teach It!
Page 4 • Exit Ticket • Cube Surface Practice Packet
