How do you calculate the area and volume of different shapes?

Area and Volume Basics

To calculate area and volume, use specific formulas based on the shape:

Common Shapes and Their Formulas

• Rectangle/Square
• Area: A = length × width
• Example: For a rectangle 4 units by 3 units: A = 4 × 3 = 12 units²
• Triangle
• Area: A = 0.5 × base × height
• Circle
• Area: A = π × radius²
• Rectangular Prism (Box)
• Volume: V = length × width × height
• Example: For a box 4 units × 3 units × 2 units: V = 4 × 3 × 2 = 24 units³
• Cylinder
• Volume: V = π × radius² × height
• Sphere
• Volume: V = (4/3) × π × radius³

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Takeaways

• Use shape-specific formulas to find area (2D) and volume (3D)
• Always include correct units (e.g., cm² for area, cm³ for volume)