Area

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Understanding Area, Perimeter & Volume

Area measures the space inside a 2D shape. Perimeter is the distance around it. Volume measures space inside a 3D object. These concepts are essential for construction, design, and everyday life.

Key Points:

Perimeter = total distance around the outside (add all sides)
Area = space inside a flat shape (measured in square units)
Volume = space inside a 3D shape (measured in cubic units)
For circles, always identify if you have radius or diameter first

Top Tips

  • Draw and label diagrams - it helps visualise the problem
  • For compound shapes, split into rectangles/triangles and add areas
  • Double-check your units in the final answer

Worked Examples

1Step 1: Write the formula: Area = ½ × base × height
2Step 2: Substitute values: Area = ½ × 12 × 8
3Step 3: Calculate: Area = ½ × 96 = 48cm²
Answer: 48cm²

🎬 Video Tutorials

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Area of Basic Shapes

⏱️ 10:15

Rectangles, parallelograms, triangles and trapeziums.

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Area of Compound Shapes

⏱️ 8:42

Breaking complex shapes into simpler parts.

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Surface Area

⏱️ 11:30

Finding surface area of 3D shapes.

🔗 More videos: Visit Maths Genie, Corbett Maths, or BBC Bitesize for more free GCSE maths resources!

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Rules to Follow

💡 Click on any rule to see more details!

Rectangle Area

Area = length × width. Example: 8cm × 5cm = 40cm²...

Triangle Area

Area = ½ × base × height. The height must be perpe...

Circle Formulas

Area = πr². Circumference = πd or 2πr. Remember: π...

Volume of Prism

Volume = area of cross-section × length. Works for...

Units Matter!

Area uses cm², m². Volume uses cm³, m³. Always che...