How To Calculate Volume?

Measure length (L), width (W), and height (H) in the same units

Rectangular prism: Volume = L × W × H

Cube: Volume = s³ (side length s)

Cylinder: Volume = π × r² × h (radius r, height h)

Sphere: Volume = (4/3) × π × r³ (radius r)

Cone: Volume = (1/3) × π × r² × h

Pyramid (base is any polygon): Volume = (1/3) × (base area) × height

Triangular prism: Volume = (1/2) × base × height × length

General approach (any solid with known cross-sections): Volume = area of cross-section × thickness (or integrate if varying)

Displacement method (irregular solids): Volume = volume of displaced liquid = final water level − initial water level

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