Complete reference guide with formulas, examples, and calculators for every common 3D shape. Perfect for students, engineers, architects, and anyone working with volume calculations.
Rectangular Prism
Box-shaped with rectangular faces
Formula
V = length × width × heightExample
l=6m, w=4m, h=3m → V = 6×4×3 = 72 m³
Cylinder
Circular cross-section with uniform height
Formula
V = π × radius² × heightExample
r=3m, h=8m → V = π×3²×8 = 226.2 m³
Sphere
Perfectly round 3D shape
Formula
V = (4/3) × π × radius³Example
r=5m → V = (4/3)×π×5³ = 523.6 m³
Cone
Circular base tapering to a point
Formula
V = (1/3) × π × radius² × heightExample
r=4m, h=9m → V = (1/3)×π×4²×9 = 150.8 m³
Square Pyramid
Square base with triangular faces meeting at apex
Formula
V = (1/3) × base area × heightExample
base=6×6m, h=10m → V = (1/3)×36×10 = 120 m³
Volume Calculation Tips
Unit Consistency
Always use the same units for all measurements (e.g., all meters). Convert before calculating to avoid errors.
Use Calculators
Online calculators eliminate human error and provide instant, accurate results for complex formulas.
Measure Accurately
Precise measurements are crucial. Small measurement errors can lead to large volume discrepancies.
Double-Check Results
Always verify that your results make physical sense in the real-world context before using them.
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