A Cubic Feet ↔ Pounds Calculator is a tool used to convert between volume (cubic feet) and weight (pounds) based on the density of a material. This conversion is essential for construction, shipping, agriculture, and industrial applications, where knowing the weight of a material is necessary for transportation, storage, and structural calculations.
Different materials have different densities, so the conversion between cubic feet and pounds depends on the material’s mass per unit volume. This calculator simplifies the process by allowing users to input a material’s volume or weight and determine the corresponding measurement.
Formula
The conversion between cubic feet and pounds is based on the density of the material, given in pounds per cubic foot (lbs/ft³).
Formula to Convert Cubic Feet to Pounds:
Weight (in pounds) = Volume (in cubic feet) × Density (in pounds per cubic foot)
Formula to Convert Pounds to Cubic Feet:
Volume (in cubic feet) = Weight (in pounds) / Density (in pounds per cubic foot)
Where:
- Weight is the mass in pounds (lbs).
- Volume is the space occupied by the material in cubic feet (ft³).
- Density is the material’s mass per unit volume, typically given in pounds per cubic foot (lbs/ft³).
Pre-Calculated Conversion Table for Common Materials
The following table provides pre-calculated conversions for common materials, making it easier to estimate weight or volume without manual calculations.
Material | Density (lbs/ft³) | 1 ft³ to Pounds | 1 Pound to ft³ |
---|---|---|---|
Water | 62.4 | 62.4 lbs | 0.016 ft³ |
Concrete | 145 | 145 lbs | 0.0069 ft³ |
Sand | 100 – 130 | 100 – 130 lbs | 0.0077 – 0.01 ft³ |
Gravel | 95 – 120 | 95 – 120 lbs | 0.0083 – 0.0105 ft³ |
Limestone | 160 | 160 lbs | 0.0063 ft³ |
Wood (Oak) | 47 – 55 | 47 – 55 lbs | 0.018 – 0.021 ft³ |
Steel | 490 | 490 lbs | 0.002 ft³ |
This table helps users quickly estimate material weights and volumes based on standard densities.
Example
Let’s calculate the weight of 3 cubic feet of concrete:
Given:
- Volume = 3 ft³
- Density of concrete = 145 lbs/ft³
Applying the formula:
Weight = 3 × 145
Weight = 435 lbs
So, 3 cubic feet of concrete weighs 435 pounds.
Now, let’s determine how many cubic feet are in 500 pounds of sand, assuming an average density of 120 lbs/ft³:
Volume = 500 / 120
Volume ≈ 4.17 ft³
So, 500 pounds of sand occupies approximately 4.17 cubic feet.
Most Common FAQs
Density determines how much mass is contained in a given volume. Since different materials have different densities, a direct conversion is impossible without knowing the density of the material.
Yes, as long as the density of the liquid or gas is known, the calculator can convert cubic feet to pounds and vice versa.
The accuracy depends on the density value used. Some materials, like gravel and sand, have a density range due to variations in moisture content and particle size.