Convert weight to volume or volume to weight for common materials using density, with results in liters, gallons, cups, cubic feet, and fluid ounces.
Volume From Weight Formula
The following formula is used to calculate the Volume From Weight.
V = W/9.81 / D
- Where V is the Volume From Weight (m^3)
- W is the total weight (N)
- D is the total density (kg/m^3)
To calculate volume from weight, divide the weight by 9.81 then divide by the density.
| Weight (N) | Volume (L) |
|---|---|
| 1 | 0.102 |
| 2 | 0.204 |
| 5 | 0.510 |
| 10 | 1.020 |
| 20 | 2.039 |
| 25 | 2.549 |
| 50 | 5.099 |
| 75 | 7.648 |
| 100 | 10.197 |
| 150 | 15.296 |
| 200 | 20.394 |
| 250 | 25.493 |
| 300 | 30.591 |
| 400 | 40.789 |
| 500 | 50.986 |
| 750 | 76.479 |
| 1000 | 101.972 |
| 1500 | 152.957 |
| 2000 | 203.943 |
| 5000 | 509.858 |
| * Rounded to 3 decimals. Assumes water (ρ = 1000 kg/m³) and Earth gravity (g = 9.80665 m/s²). For water: 1 L ≈ 9.80665 N; 1 N ≈ 0.102 L. | |
How to Calculate Volume From Weight?
The following example problems outline how to calculate Volume From Weight.
Example Problem #1:
- First, determine the total weight (N).
- The total weight (N) is given as: 50.
- Next, determine the total density (kg/m^3).
- The total density (kg/m^3) is provided as: 3.5.
- Finally, calculate the Volume From Weight using the equation above:
V = W/9.81 / D
The values given above are inserted into the equation below:
V =50/9.81 / 3.5 = 1.456 (m^3)
FAQ
What is the significance of the number 9.81 in the Volume From Weight formula?
9.81 is the acceleration due to gravity in meters per second squared (m/s^2) on Earth's surface. It is used to convert the weight (force) measured in Newtons (N) to mass, as weight is the product of mass and the acceleration due to gravity.
Can the Volume From Weight formula be used for any type of material?
Yes, the formula can be applied to any material as long as you know its weight and density. However, the accuracy of the volume calculated will depend on the precision of the weight and density values provided.
How can the density of a material be determined if it's unknown?
Density can be determined by dividing the mass of the material by its volume (density = mass/volume). If you have a sample of the material, you can measure its mass using a scale and determine its volume by displacement or geometric methods, depending on its shape.
