📦 3D GEOMETRY & VOLUME TOOL

Volume Calculator 2026 - Cylinder, Sphere, Cone & Prism Volume

Compute exact 3D shape volumes in cubic feet, cubic meters, gallons, and liters for rectangular prisms, cylinders, spheres, cones, and cubes.

Figure 1: Geometric 3D volume shapes.

📋 Table of Contents

1. Interactive 3D Volume Calculator Tool
2. Overview of Volume Units
3. 3D Geometric Volume Formulas
4. Step-by-Step Worked Example
5. Frequently Asked Questions (FAQ)

⚡ Interactive 3D Shape Volume Calculator

Select 3D Shape Rectangular Prism / Box Cylinder Sphere Cone

Length (ft)

Width (ft)

Height (ft)

Radius (ft)

Height (ft)

Volume in Cubic Feet (ft³):

0 ft³

Volume in Cubic Yards (yd³):

0 yd³

Volume in US Gallons:

0 gal

2. Overview of Volume Units

Volume quantifies three-dimensional space enclosed by a boundary. Key unit conversions include: 1 cubic yard = 27 cubic feet and 1 cubic foot = 7.48 US gallons.

3. 3D Geometric Volume Formulas

1. Rectangular Prism: Volume = L × W × H
2. Cylinder: Volume = π × r² × h
3. Sphere: Volume = (4/3) × π × r³
4. Cone: Volume = (1/3) × π × r² × h
  

4. Step-by-Step Worked Example

Shape	Dimensions	Calculated Volume
Box / Slab	10 ft × 5 ft × 4 ft	200 ft³ (7.41 yd³)

5. Frequently Asked Questions (FAQ)

Q1: How many gallons are in 1 cubic foot of water?

Answer: Exactly 7.48052 US fluid gallons.

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