# How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity

Linear expansivity, area expansivity and volume or cubic expansivity are all parameters that are being governed by heat energy. All three parameters are dependent on temperature rise which is primarily in Celsius unit of temperature.

Linear expansivity additionally depends on the original length and final length, area expansivity additionally depends on the original area and final area and lastly, cubic or volume expansivity depends on the original volume and final volume.

The formula for calculating linear expansivityÂ is (l2 – l1) / l1Î¸
l2 represents the final length.
l1 represents the original length.
Î¸ represents the temperature rise in Celsius.

The formula for calculating area expansivity is (A2 – A1) / A1Î¸
A2 represents the final area.
A1 represents the original area.
Î¸ represents the temperature rise in Celsius.

The formula for calculating volume or cubic expansivity is (V2 – V1) / V1Î¸
V2 represents the final volume.
V1 represents the original volume.
Î¸ represents the temperature rise in Celsius.

Let’s solve three examples on linear expansivity, area expansivity and volume or cubic expansivity respectively. The Calculator Encyclopedia (Nickzom Calculator) is capable of solving for these parameters showing the formula workings and answer accurately.

### Access Nickzom Calculator to Solve Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity

First and Foremost, one needs to have access to Nickzom Calculator via any of these means:

Then, proceed to the Calculator Map, click on Heat Energy under the Physics section

Example 1:

Find the linear expansivity (Î±) of a metal where its original length is 8 cm and its final length is 12 cm after undergoing a rise in temperature of 20Â°C.

Î± = (l2 – l1) / l1Î¸
Where:
l2 (Final Length) = 12 cm
l1 (Original Length) = 8 cm
Î¸ (Temperature Rise) = 20Â°C

Therefore,

Î± = (12 – 8) / 8(20) 1/Â°C
Î± = 4 / 160 1/Â°C
Then, Î± = 0.025 1/Â°C

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Using Nickzom Calculator,Â click on Linear Expansivity,

Then, enter your values appropriately and accurately

Lastly, click on the Calculate Button

Example 2:

Find the area expansivity (Î²) of a metal where its original area is 12 cmÂ² and its final length is 20 cmÂ² after undergoing a rise in temperature of 30Â°C.

Î² = (A2 – A1) / A1Î¸
Where:
A2 (Final Area) = 20 cmÂ²
A1 (Original Area) = 12 cmÂ²
Î¸ (Temperature Rise) = 30Â°C

Therefore,

Î² = (20 – 12) / 12(30) 1/Â°C
Î² = 8 / 360 1/Â°C
That is, Î² = 0.02222 1/Â°C

Using Nickzom Calculator,Â click on Area Expansivity,

Then, enter your values appropriately and accurately

Lastly, click on the Calculate Button

Example 3:

Find the volume or cubic expansivity (Î³) of a metal where its original volume is 18 cmÂ³ and its final length is 30 cmÂ³ after undergoing a rise in temperature of 50Â°C.

Î³ = (V2 – V1) / V1Î¸
Where:
V2 (Final Volume) = 18 cmÂ³
V1 (Original Volume) = 30 cmÂ³
Î¸ (Temperature Rise) = 50Â°C

Therefore,

Î³ = (30 – 18) / 18(50) 1/Â°C
Î³ = 12 / 900 1/Â°C
Therefore, Î³ = 0.01333 1/Â°C

Using Nickzom Calculator,Â click on Volume or Cubic Expansivity,

Then, enter your values appropriately and accurately

Lastly, click on the Calculate Button