Enter the total weight (N) and the total density (kg/m^3) into the Volume From Weight Calculator. The calculator will evaluate and display the Volume From Weight. 

Weight to Volume Calculator

Convert weight to volume or volume to weight using a material density. Use the Density Solver tab if you want to solve for density, mass, or volume directly.

Best for questions like “how many liters is 5 kg of honey?” or “how much volume does 10 lb of steel occupy?”

Best for questions like “how much does 3 gallons of diesel weigh?” or “how many pounds is 2 liters of olive oil?”

Enter any 2 of the 3 values below to calculate the missing one. This tab is for formula-style searches like weight = density × volume.

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.

Newtons to Liters Conversion Table (Water, ρ = 1000 kg/m³; g = 9.80665 m/s²)
Weight (N) Volume (L)
10.102
20.204
50.510
101.020
202.039
252.549
505.099
757.648
10010.197
15015.296
20020.394
25025.493
30030.591
40040.789
50050.986
75076.479
1000101.972
1500152.957
2000203.943
5000509.858
* 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:

  1. First, determine the total weight (N).
    1. The total weight (N) is given as: 50.
  2. Next, determine the total density (kg/m^3).
    1. The total density (kg/m^3) is provided as: 3.5.
  3. 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.