Volume Formula Sheet
Reference formulas for calculating the volume of common 3D shapes used in engineering, architecture, and geometry
Volume Formulas
| Shape | Volume (V) |
|---|---|
| Cube (side a) | V = a³ |
| Rectangular Prism (length l, width w, height h) | V = l·w·h |
| Sphere (radius r) | V = (4/3)·π·r³ |
| Cylinder (radius r, height h) | V = π·r²·h |
| Cone (radius r, height h) | V = (1/3)·π·r²·h |
| Triangular Prism (base area A, height h) | V = A·h |
| Hollow Cylinder (outer radius R, inner radius r, height h) | V = π·h·(R² − r²) |
| Pyramid (base area A, height h) | V = (1/3)·A·h |
About the Volume Formula Sheet
This page provides a comprehensive reference for calculating volumes of common 3D shapes, including cubes, rectangular prisms, spheres, cylinders, cones, triangular prisms, pyramids, and hollow cylinders. It covers standard formulas for geometric, structural, and engineering calculations with clear, easy-to-use notation.
The volume formulas are essential for students, educators, engineers, architects, and designers to quickly determine the space occupied by solids, perform material estimation, and support structural or mechanical analysis. Accurate volume calculations are critical in construction, manufacturing, fluid dynamics, and CAD modeling.
Key Benefits and Applications
- Provides quick reference to accurate volume formulas for a wide range of 3D shapes.
- Supports geometry, physics, engineering, and architectural design calculations.
- Facilitates material estimation, design planning, and cost analysis by providing reliable formulas in one place.
- Includes both solid and hollow shapes for real-world applications in manufacturing and structural analysis.
This Volume Formula Sheet is a practical tool for anyone needing fast, reliable references for calculating volumes of 3D objects in mathematics, engineering, architecture, and applied sciences.