# How to Calculate and Solve for Volume Shrinkage | Solidification of Metals

The image above represents volume shrinkage. To calculate volume shrinkage, two essential parameters are needed and these parameters are Mould Volume (Vm) and Volume of Casting at 20°C (Vo).

### The formula for calculating the volume shrinkage:

εv= Vm – Vo / Vo x 100%

Where:

εv = Volume Shrinkage
Vm = Mould Volume
Vo = Volume of Casting at 20°C

Let’s solve an example;
Find the volume shrinkage where the mould volume is 30 and the volume of casting at 20°C.

This implies that;

Vm = Mould Volume = 30
Vo = Volume of Casting at 20°C = 3

εv= Vm – Vo / Vo x 100%
εv = 30 – 3 / 3 x 100%
Then, εv = 27 / 3 x 100%
εv = 9 x 100%
εv = 900%

Therefore, the volume shrinkage is 900%.

### How to Calculate Volume Shrinkage With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume shrinkage.

To get the answer and workings of the volume shrinkage using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Solidification of Metal under Materials and Metallurgical

Now, Click on Volume Shrinkage under Solidification of Metal

The screenshot below displays the page or activity to enter your values, to get the answer for the volume shrinkage according to the respective parameter which is the Mould Volume (Vm) and Volume of Casting at 20°C (Vo).

Now, enter the values appropriately and accordingly for the parameters as required by the Mould Volume (Vmis 30 and Volume of Casting at 20°C (Vo) is 3.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the volume shrinkage and presents the formula, workings and steps too.