# How to Calculate and Solve for Final Area | Volume Balance in Stress

To calculate final area, three essential parameters are needed and these parameters are Final Length at Breakage (l1), Initial Length before Breakage (l0)Â andÂ Initial Area (A0).

### The formula for calculating final area:

A1Â =Â (A0l0)/l1

Where:

A1Â = Final Area
l1Â = Final Length at Breakage
l0Â = Initial Length before Breakage
A0 Â = Initial Area

Given an example;
Find the final area when the final length at breakage is 8, the initial length before breakage is 6 and initial area is 3.

This implies that;

l1 = Final Length at Breakage = 8
l0 = Initial Length before Breakage = 6
A0 Â = Initial Area = 3

A1Â =Â (A0l0)/l1
That is, A1Â =Â (3)(6)/(8)
A1Â =Â (18)/(8)
A1 = 2.25

Therefore, theÂ final areaÂ isÂ 2.25 mÂ².

### Calculating the Final Length at Breakage when the Final Area, the Initial Length before Breakage and the Initial Area are Given

l1 = A0(l0) / A1

Where:

l1Â = Final Length at Breakage
A1Â = Final Area
l0Â = Initial Length before Breakage
A0 Â = Initial Area

Let’s solve an example;
Find the final length at breakage when the final area is 10, the initial length before breakage is 4 and the inital area is 6.

This implies that;

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A1 = Final Area = 10
l0 = Initial Length before Breakage = 4
A0 Â = Initial Area = 6

l1 = A0(l0) / A1
l1 = 6(4) / 10
That is, l1 = 24 / 10
l1 = 2.4

Therefore, theÂ final length at breakageÂ isÂ 2.4m.

### Calculating the Initial Length before Breakage when the Final Area, the Final Length at Breakage and the Initial Area are Given

l0 = A1(l1) / A0

Where:

l0Â = Initial Length before Breakage
A1Â = Final Area
l1Â = Final Length at Breakage
A0 Â = Initial Area

Let’s solve an example;
Find the initial length before breakage when the final area is 15, the final length at breakage is 3 and the inital area is 9.

This implies that;

A1 = Final Area = 15
l1 = Final Length at Breakage = 3
A0 Â = Initial Area = 9

l0 = A1(l1) / A0
So, l0 = 15(3) / 9
l0 = 45 / 9
l0 = 5

Therefore, theÂ initial length before breakageÂ isÂ 5m.

### Calculating the Initial Area when the Final Area, the Final Length at Breakage and the Initial Length before Breakage are Given

A0 Â = A1(l1) / l0

Where:

A0 Â = Initial Area
A1Â = Final Area
l1Â = Final Length at Breakage
l0 = Initial Length before Breakage

Given an example;
Find the initial area when the final area is 12, the final length at breakage is 8 and the initial length before breakage is 2.

This implies that;

A1 = Final Area = 12
l1 = Final Length at Breakage = 8
l0 = Initial Length before Breakage = 2

A0 Â = A1(l1) / l0
Then, A0 Â = 12(8) / 2
A0 Â = 96 / 2
A0 Â = 48

Therefore, theÂ initial areaÂ isÂ 48.

### How to Calculate Final Area With Nickzom Calculator

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the final area.

To get the answer and workings of the final area using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Mechanical PropertiesÂ underÂ Materials and Metallurgical

Now, Click on Final AreaÂ underÂ Mechanical Properties

The screenshot below displays the page or activity to enter your values, to get the answer for the final area according to the respective parameter which is the Final Length at Breakage (l1), Initial Length before Breakage (l0)Â andÂ Initial Area (A0).

Now, enter the values appropriately and accordingly for the parameters as required by the Final Length at Breakage (l1) is 8, Initial Length before Breakage (l0) is 6 and Initial Area (A0) is 3.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the final area and presents the formula, workings and steps too.