Complete reference guide with formulas, examples, and calculators for every common 3D shape. Perfect for students, engineers, architects, and anyone working with volume calculations.
Box-shaped with rectangular faces
V = length × width × heightl=6m, w=4m, h=3m → V = 6×4×3 = 72 m³
Circular cross-section with uniform height
V = π × radius² × heightr=3m, h=8m → V = π×3²×8 = 226.2 m³
Perfectly round 3D shape
V = (4/3) × π × radius³r=5m → V = (4/3)×π×5³ = 523.6 m³
Circular base tapering to a point
V = (1/3) × π × radius² × heightr=4m, h=9m → V = (1/3)×π×4²×9 = 150.8 m³
Square base with triangular faces meeting at apex
V = (1/3) × base area × heightbase=6×6m, h=10m → V = (1/3)×36×10 = 120 m³
Always use the same units for all measurements (e.g., all meters). Convert before calculating to avoid errors.
Online calculators eliminate human error and provide instant, accurate results for complex formulas.
Precise measurements are crucial. Small measurement errors can lead to large volume discrepancies.
Always verify that your results make physical sense in the real-world context before using them.
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