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Density Calculator

Select and enter any two values into this calculator to make calculations for density (ρ), mass (m), or Volume (V).

To Calculate

Density Unit

Volume Unit

Mass Unit

Density

 

Volume

 

Weight/Mass

 

Length

 

Width

 

Height

 

Volume Unit

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Density Unit

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Material

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Material

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Material

Density 2700 kg/m³

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Density Calculator

The density calculator is used to calculate the density of a material depending on its mass and volume. All the calculations by this tool can be performed using the given equations. Also, you can put two known values into any one of the given formulas to find the third.

To Find Density:

$$ρ = \frac{M}{V}$$

To Find Volume:

$$V = \frac{M}{ρ}$$

To Find Mass:

$$M = {ρ} \times{V}$$

What Is Density?

“Density is a physical property of matter defined as the mass per unit volume” 

It determines how closely a matter is packed together in a particular space. When comparing materials of different densities occupying the same volume, the one with higher density weighs more than those with lower density. 

  • Symbol: \(\rho\)
  • SI Unit: \(\ kg/m^3\)
  • Quantity: Scalar

But in the case of solid, we use \(\ gcm^{-3}\) to indicate density, while liquid and gases are determined in \(\ gL^{-1}\)

Common Density Units

Unit SI Unit kg/m³
Kilogram per cubic meter SI Unit
Gram per cubic centimeter 1,000,000
Gram per cubic meter 0.001
Kilogram per liter 1,000
Gram per liter 1
Pound per cubic inch 27,680
Pound per cubic foot 16.02
Pound per cubic yard 0.5933
Pound per gallon (US) 119.83
Pound per gallon (UK) 99.78
Ounce per cubic inch 1,730
Ounce per cubic foot 1.001
Ounce per gallon (US) 7.489
Ounce per gallon (UK) 6.236
Ton (short) per cubic yard 1,186.60
Ton (long) per cubic yard 1,328.90

How to Calculate the Density of an Object?

  • Measure the Mass: You have to find the mass of the object. Simply use a weighing scale to measure this in grams (g) or kilograms (kg) or other suitable units depending on the object’s size.
  • Measure the Volume: This is based on the object’s shape, it can be either regular or irregular. This measurement involves huge human intervention, so if you have:
    • Regular shapes (cubes, spheres, cylinders) then simply calculate their volume using the above tool.
    • For Irregular shapes, the density calculator offers an advanced mode. It calculates the volume based on length, width, and height.
  • Calculate the Density: Once you find the values of the mass and volume of an object, then divide these and get the density. 

Also, if the two above parameters are given, you can easily find the third one. Take a look at these examples:

Example # 1:

The object has weighed about \(\ 150g\) and volume of \(\ 90cm^3\). Find the density of the object.

Calculation:

The given values:

  • \(\ m = 150 g\)
  • \(\ V = 90cm^3\)

Add them into the formula:

\(\rho = \frac {m}{V}\)

\(\ \rho = \frac {150}{90}\)

\(\ \rho = 1.66 gcm^-3\)

Example # 2:

What does a body have volume if its mass is \(\ 500g\) and density is \(\ 10 kg/m^3\)

Calculation:

The given values:

  • \(\ M = 500g\)
  • \(\ D = 10 kg/m^3\)

Put these into the given formula:

\(\ V = \frac {M}{\rho}\)

\(\ V = \frac {500g}{10 kg/m^3}\)

To convert grams (g) to kilograms (kg) for the mass, we can divide by 1000:

\(\ mass = \frac{500g}{1000 kg}\)

\(\ mass = 0.5 kg\)

So, here the volume equals to:

\(\ V = \frac{0.5 kg}{10 kgm^{-3}}\)

\(\ V = 0.05 m^3\)

Example # 3:

The volume of the object is \(\ 200cm^3\) and the density is \(\ 9 gcm^-3\). what is the mass of that object?

Calculation:

The given values:

  • \(\ V = 200cm^3\)
  • \(\ D = 9 gcm^-3\)

Plug the measurements into the formula:

\(\ m = \rho \times V\)

\(\ m = (9) \times (200)\)

\(\ m = 1800 g\)

Density of Common Materials:

Material Density (kg/m³)
Earth’s atmosphere at sea level 1.2
Water at standard temperature and pressure 1,000
The Earth 5,515.30
Iron 7,874
Copper 8,950
Tungsten 19,250
Gold 19,300
Platinum 21,450
Atomic nuclei 2.3 × 10¹⁷
Black hole > 1 × 10¹⁸

FAQs:

How do I find the densities of common materials with calculator?

You will find the densities of different categories by using the density calculator:

  • Metals
  • Non-metals
  • Gases
  • Liquids
  • Astronomy

All you need to choose a category and name of the material with a density unit, the calculator will show you the real-time calculation for density.

Which element has the highest density at STP?

The element with the greatest density at STP (Standard Temperature and Pressure) is named Osmium (Os). It has density of about \(\ 22.59 g/cm^3\)

How do I calculate the density of the Earth?

  • Earth’s volume would be 1.08 trillion \(\ km^{3}\)\(=1.1×10^{21} m^{3}\)
  • The mass of Earth is \(\ 5.972 × 10^{24} kg\)
  • By dividing the mass by volume we get a density equal to \(\ 5,500 kg/m^3\)

What affects the density?

The factors that affect the density are given below:

  • Size
  • Mass
  • Arrangement of atoms