CUBE

Cube

Definition Of Cube

A Cube is a three-dimensional figure with six square faces.

example of Cube

Video Examples: Cube

Example of Cube

A dice is in the form of a cube.

Solved Example on Cube

Ques: Find the total surface area of a cube of side 2 cm.

Choices:

A. 24 square centimeters
B. 12 square centimeters
C. 10 square centimeters
D. 2 square centimeters
Correct Answer: A

Solution:

Step 1: The total surface area of a cube of side length s = 6 × s × s.
Step 2: The total surface area of the cube with side length 2 cm = 6 × 2 × 2 = 24 square centimeters.

Quick Summary

A cube has 6 faces, 12 edges, and 8 vertices.
All faces of a cube are squares.

\[ SA = 6s^2, V = s^3 \]

⚠️ Common Mistakes

Confusing surface area with volume.
Incorrectly calculating the area of a square face.

🌍 Real-World Uses

Rubik's Cubes used for puzzle solving and recreational mathematics.
Dice used in board games and probability experiments.
Sugar cubes used in cooking and baking to measure ingredients.

📋 Standards Alignment

CCSS.MATH.CONTENT.6.G.A.2
CCSS.MATH.CONTENT.8.G.C.9

🍎 Teacher Insights

Use physical cubes or building blocks to demonstrate the properties of a cube. Emphasize the relationship between the side length and the surface area/volume.

🎓 Prerequisites

Square
Three-Dimensional Shapes
Area

Check Your Knowledge

Q1: What is the total surface area of a cube of side 2 cm?

24 square centimeters 12 square centimeters 10 square centimeters 2 square centimeters

Q2: How many faces does a cube have?

4 6 8 12

Frequently Asked Questions

Q: What is the difference between a cube and a square?
A: A square is a two-dimensional shape, while a cube is a three-dimensional shape.

Q: How do you find the volume of a cube?
A: The volume of a cube is found by cubing the length of one of its sides (side * side * side).