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

To calculate area and volume:

Area measures the size of a 2D surface. Common formulas:

• Rectangle: _Area_ = length × width
• Triangle: _Area_ = ½ × base × height
• Circle: _Area_ = π × radius²

Volume measures the space inside a 3D object. Key formulas:

• Rectangular prism: _Volume_ = length × width × height
• Cylinder: _Volume_ = π × radius² × height
• Sphere: _Volume_ = (4/3) × π × radius³

Example:
To find the area and volume of a rectangular box (length = 4 cm, width = 3 cm, height = 2 cm):

• Area (of the base): 4 cm × 3 cm = 12 cm²
• Volume: 4 cm × 3 cm × 2 cm = 24 cm³

Key Takeaways:

• Area is for flat, 2D shapes; volume is for 3D objects.
• Use the right formula for each specific shape.