Complete reference guide with formulas, examples, and calculators for every common 3D shape. Perfect for students, engineers, architects, and anyone working with volume calculations.
All sides are equal in length
V = side³side = 5m → V = 5³ = 125 m³
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
Stretched sphere with three semi-axes
V = (4/3) × π × a × b × ca=3m, b=2m, c=4m → V = (4/3)×π×3×2×4 = 100.5 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
Triangular cross-section extruded
V = base area × heightbase=15m², h=8m → V = 15×8 = 120 m³
Always use the same units for all measurements. Convert before calculating to avoid errors.
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Precise measurements are crucial for accurate volume calculations. Use proper measuring tools.
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