Cubic Feet Calculator
Instantly calculate cubic feet (cu ft) for any rectangular solid or cylinder. Enter your measurements below in inches, feet, yards, or meters to accurately determine total volume.
1. Select Object Shape
2. Enter Dimensions
3. Optional Options
Knowing exactly how to calculate cubic feet is a fundamental skill whether you are estimating topsoil for a landscaping project, measuring a room for HVAC sizing, calculating freight shipping volume, or figuring out how much lumber you need. A cubic foot is simply a measure of three-dimensional volume.
By definition, one cubic foot is the volume occupied by a cube that is exactly 1 foot long, 1 foot wide, and 1 foot high. Because not everything is measured perfectly in feet, our cubic feet calculator lets you input dimensions in inches, yards, centimeters, or meters, and handles all the complex volume conversions automatically.
How to Calculate Cubic Feet (The Formula)
To find the volume of any object or space in cubic feet, you must multiply its three primary dimensions: length, width, and height. However, the most common mistake people make is failing to ensure all three measurements are in feet before they multiply them together.
1. For Rectangular Solids (Boxes, Rooms, Planters)
This is the standard formula used for shipping boxes, raised garden beds, and square rooms.
Cubic Feet Formula (Rectangular)
Cubic Feet (ft³) = Length (ft) × Width (ft) × Height (ft)If your measurements are in inches, you must divide the final result by 1,728 to convert back to cubic feet.
2. For Cylinders (Tanks, Columns, Round Pots)
If you are trying to fill a circular fire pit with gravel or a round tank with water, you need the cylindrical volume formula.
Cubic Feet Formula (Cylindrical)
Volume = π × r² × Height- π (Pi) ≈ 3.14159
- r (Radius) = Half of the diameter across the circle (in feet)
- Height = Depth or height of the cylinder (in feet)
Step-by-Step Calculation Examples
Example 1: Measuring in Feet
Let’s say you are filling a raised garden bed that is 8 feet long, 4 feet wide, and 2 feet deep.
- Formula: L × W × H
- Math: 8 × 4 × 2
- Result: 64 cubic feet of soil required.
Example 2: Measuring in Inches
You have a shipping box that measures 24 inches long, 18 inches wide, and 12 inches high. How many cubic feet is this?
- Step 1 (Multiply in inches): 24 × 18 × 12 = 5,184 cubic inches.
- Step 2 (Convert to feet): Because there are 1,728 cubic inches in one cubic foot (12″ x 12″ x 12″), you divide your total by 1,728.
- Math: 5,184 ÷ 1,728 = 3.0 cubic feet.
Converting Common Units to Cubic Feet
If you already know the volume of your object in a different metric, you don’t need to remeasure it. You can simply multiply or divide using standard conversion constants.
| To Convert From… | Do This Math | Example |
|---|---|---|
| Cubic Inches (in³) | Divide by 1,728 | 3,456 in³ ÷ 1728 = 2.0 ft³ |
| Cubic Yards (yd³) | Multiply by 27 | 2.0 yd³ × 27 = 54 ft³ |
| Cubic Meters (m³) | Multiply by 35.3147 | 5 m³ × 35.3147 = 176.57 ft³ |
| Liters (L) | Divide by 28.3168 | 100 L ÷ 28.3168 = 3.53 ft³ |
Wood & Lumber: Cubic Feet vs. Board Feet
One of the most frequent areas of confusion when calculating cubic feet involves buying lumber or woodworking materials. In the lumber industry, wood volume is rarely measured in cubic feet—it is measured in Board Feet (bd ft).
The Board Foot Rule
A board foot is a specialized volume measurement for lumber equal to 144 cubic inches. It represents a piece of wood that is theoretically 12 inches wide, 12 inches long, and 1 inch thick.
Because a standard cubic foot is 1,728 cubic inches, and a board foot is 144 cubic inches, it means that there are exactly 12 board feet in 1 cubic foot of wood (1728 ÷ 144 = 12).
How to Calculate Board Feet for a 2×4
Let’s calculate the board footage of a standard 2×4 stud that is 10 feet long.
- Formula: (Thickness in inches × Width in inches × Length in feet) ÷ 12
- Math: (2 × 4 × 10) ÷ 12
- Result: 80 ÷ 12 = 6.67 board feet.
Note: When calculating board feet, you use the “nominal” size of the lumber (the 2×4), not the actual milled physical dimensions (which are closer to 1.5″ x 3.5″).
Common Conversion Mistakes
- Assuming 1 cubic foot = 12 cubic inches: Because there are 12 inches in a foot, people often mistakenly assume there are 12 cubic inches in a cubic foot. Remember that volume is 3D. 12 × 12 × 12 = 1,728 cubic inches.
- Mixing Units: Attempting to multiply a length measured in feet by a width measured in inches. Always convert all sides to the same unit before multiplying.
- Confusing Cubic Feet with Square Feet: Square feet (sq ft) is a flat, 2D area (Length × Width). Cubic feet (cu ft) is 3D space (Length × Width × Height). You cannot convert square feet to cubic feet without knowing the height/depth.
Frequently Asked Questions
Reference: https://en.wikipedia.org/wiki/Cubic_foot
