Cubic Feet Calculator

The Mathematics of Space: Calculating Cubic Feet

From pouring concrete footings to packing a moving truck, knowing the volume of an object in Cubic Feet (ft³) is a daily necessity in construction and logistics. While rectangular boxes are easy, the math gets tricky when dealing with columns (cylinders) or piles (cones).

1. The Rectangle (Box)

The standard freight and storage calculation. Ideally, convert all measurements to feet first.
Formula: `Volume = Length × Width × Height`

2. The Cylinder

Used for sonotubes, pipes, and tanks.
Formula: `Volume = π × r² × h`
Note: `r` is the radius (half the width). If you have the diameter, divide by 2 first.

3. The Cone

Used for estimating piles of sand, gravel, or mulch.
Formula: `Volume = (π × r² × h) / 3`
A cone is exactly one-third the volume of a cylinder with the same dimensions.

4. The Sphere

Used for tanks and specialized containers.
Formula: `Volume = (4/3) × π × r³`

Common Unit Conversions

If you calculated your volume in a different unit, here is how to get to cubic feet:
- From Cubic Inches: Divide by 1,728.
- From Cubic Yards: Multiply by 27.
- From Cubic Meters: Multiply by 35.315.
- From Gallons (Fluid): Divide by 7.48.