Volume Calculator
Calculate the volume of standard geometric shapes including boxes (rectangular prisms), cylinders, spheres, and cones. Converts between cubic feet, cubic yards, and cubic meters.
Calculation Results
Volume in Cubic Feet
40.00
Calculated volume in cubic feet (cu ft).
Volume in Cubic Yards
1.48
Calculated volume in cubic yards (cu yd).
Volume in Cubic Meters
1.13
Calculated volume in metric cubic meters (m³).
Volume in Gallons (US)
299.2
Calculated volume in liquid US Gallons.
How This Calculator Works
To use the volume calculator:
- Select the 3D shape (Box, Cylinder, Sphere, or Cone).
- Provide the requested dimensions in your preferred unit selection.
- The calculator computes the 3D volume, giving conversions across standard trade volumes (feet, yards, meters, and gallons).
Formula & Calculations
Standard geometric formulas are used to calculate the volume of each respective shape:
- Rectangular Box:
Length × Width × Depth - Cylinder:
π × (Diameter / 2)² × Height - Sphere:
(4/3) × π × (Diameter / 2)³ - Cone:
(1/3) × π × (Diameter / 2)² × Height
Unit conversions scale from the internal base value (cubic feet):
- Cubic Yards: Divide cubic feet by 27.
- Cubic Meters: Multiply cubic feet by 0.0283.
- US Gallons: Multiply cubic feet by 7.4805.
Step-by-Step Calculation Examples
Water Tank (6ft diameter x 12ft cylinder height)
Calculating liquid storage volume of a cylindrical water tank.
Given Inputs
- shape: cylinder
- diameter: 6
- height: 12
Calculated Output
- volume_cu_ft: 339.29 cu ft
- volume_cu_yd: 12.57 cu yd
- volume_gallons: 2538.1 gal
Frequently Asked Questions
How many gallons are in a cubic foot?
There are approximately 7.48052 US liquid gallons in a single cubic foot.