Fundamentals of Geometric Shapes and Properties

📋 Course Outline

1. Square properties
2. Rectangle properties
3. Triangle properties
4. Circle (disk) properties
5. Cube properties
6. Rectangular prism
7. Cylinder properties
8. Cone properties
9. Sphere properties

📖 1. Square properties

🔑 Key Concepts & Definitions

• Perimeter: the total length of the boundary of a 2D figure.
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• Area: the measure of the surface covered by a 2D figure.
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• Volume: the amount of space occupied by a 3D figure.
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📝 Essential Points

• A square is a regular quadrilateral with four equal sides and four right angles.
• The perimeter of a square is calculated as $P = 4 \times L$, where $L$ is the length of one side.
• The area of a square is calculated as $A = L^2$.
• For 3D figures like the cube (a special case of a square-based figure), the volume is $V = L^3$.
• Example: If each side of a square is 5 cm:
  • Perimeter = $4 \times 5 = 20$ cm
  • Area = $5^2 = 25$ cm²
  • For a cube with side 5 cm, Volume = $5^3 = 125$ cm³

💡 Key Takeaway

A square is a simple 2D shape with four equal sides and right angles; its perimeter and area are calculated using straightforward formulas based on the side length.

📖 2. Rectangle properties

🔑 Key Concepts & Definitions