Theoretical Volume Calculator

Are you looking to find the volume of an object when you know its mass and theoretical density? Use this theoretical volume calculator. It is very useful tool in fields where the the volume of materials based on their mass and density is important like material science and engineering.

For calculation, enter the mass and theoretical density into calculator input fields and it will evaluate theoretical volume. To the theoretical of multiple materials, turn advance mode on and fill out input fields and get result.

Theoretical Volume Calculator

Enter any 2 values to calculate the missing variable

Theoretical Volume Calculation tool

What is a Theoretical Volume?

A Theoretical Volume refers to the volume that an object or material would occupy based on its mass and theoretical density. This concept is important in various scientific and engineering fields, such as material science and chemistry.

How to Use the Calculator

Using the Theoretical Volume Calculator is simple:

  1. Enter any two of the following values: mass (m), theoretical density (d), or theoretical volume (Vt).
  2. Leave the output field empty.
  3. Press the “Calculate” button to find the missing value.

How To Calculate Theoretical Volume

The formula to calculate the theoretical volume (Vt) is:

Vt=mdV_t = \frac{m}{d}


Vt is the Theoretical Volume (m³)
m is the mass (kg)
d is the theoretical density (kg/m³)

Example Calculation

1. Basic Calculation

Let’s calculate the volume for an object with a mass of 10 kg and a density of 2 kg/m³.

Mass (kg) Density (kg/m³) Volume (m³)
10 2 5

Using the formula:

Vt=10 kg2 kg/m³=5 m³V_t = \frac{10 \text{ kg}}{2 \text{ kg/m³}} = 5 \text{ m³}

Advanced Calculation

Now, let’s say we have a composite material with a total mass of 12 kg, and we know the densities of three components: 3 kg/m³, 4 kg/m³, and 5 kg/m³.

Calculate the average density:

Average Density=3+4+53=4 kg/m³\text{Average Density} = \frac{3 + 4 + 5}{3} = 4 \text{ kg/m³}

Calculate the composite volume:

Vt=12 kg4 kg/m³=3 m³V_t = \frac{12 \text{ kg}}{4 \text{ kg/m³}} = 3 \text{ m³}

Total Mass (kg) Avg Density (kg/m³) Composite Volume (m³)
12 4 3


1. What units should I use for the inputs?

Use kilograms (kg) for mass and kilograms per cubic meter (kg/m³) for density.

2. Can I calculate the mass if I know the volume and density?

Yes, you can. Enter the volume and density, then leave the mass field empty.

3. Is the calculator accurate for all materials?

The calculator is accurate for materials with uniform density. For materials with varying density, the results may not be precise.

Final words

Hope, you found the Theoretical Volume Calculator a useful tool in quickly calculating the volume, mass, or density of materials based on theoretical values. In case you have any confusion while using the tool you can write us below.

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