Density to Weight Calculator

Created by Steven Wooding
Reviewed by Rijk de Wet
Last updated: Jun 05, 2023


This density to weight calculator gives you a quick way to go from the density of an object made from a known substance to its weight, as long as you know its volume.

In this brief article, we will show you:

  • The density to weight equation;
  • How to calculator weight from density; and
  • The difference between density and weight?

Density to weight equation

So how do we calculate weight using density and volume? By rearranging the equation for density, which is defined as the mass per unit volume:

ρ=mV     m=ρV\rho = \frac{m}{V}\ \implies \boxed{m = \rho V}

where:

  • ρ\rho – Density of the substance;
  • mm – Weight (or mass); and
  • VV – Volume.

So if we know the density and volume of an object, we now know how to calculate its weight using density and volume.

How to use the density to weight calculator

It's pretty straightforward to use the density to weight calculator by following these steps:

  1. Input the density of the material, making first sure that the unit is correct. You can change the units by clicking on the unit and selecting from a wide range of density units. For example, you know that the object is made of lead, so you would enter 11,340 kg/m³ as the density.

  2. Enter the volume of space that the object occupies. If you don't know the volume but do know the object's dimensions, the advanced mode of the calculator allows you to enter the object's length, width, and height. Let's say the lead artifact is 250 cm³.

  3. And that's all there is to it. You now know the object's weight, which in our example is 2.835 kg.

FAQ

How do I calculate weight from density?

To calculate weight from the density of an object, given you know its volume, you would:

  1. Multiply the density by the volume, making sure the volume and density units match.
  2. Enjoy your weight result, all without having to use a set of scales.

What's the difference between density and weight?

The density of an object is its weight per unit volume and does not change with the object's size. It is an intrinsic property of the material the object is made from.

Whereas the weight of an object depends on the object's size. The bigger it is, the more it will weigh.

What is the weight of an object if its density is 19.32 g/cm³?

The answer depends on the volume of the object. Let's say its volume is 60 cm³, then:

  1. Multiply 19.32 g/cm³ by 60 cm³.
  2. The result is 1,159 grams.

The weight is proportional to the volume; double the volume, you double the weight.

Steven Wooding
Density
lb/cu ft
Volume
cu ft
Weight
lb
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