How to Calculate and Solve for Volume of the fill on the Land | Land Development

Last Updated on April 18, 2024

The image above represents volume of the fill on the land. To calculate volume of the fill on the land, three essential parameters are needed and these parameters are Grid spacing (L), Cut on grid corners (Σc), Fill on the grid corners (Σf).

The formula for calculating the volume of the fill on the land:

V_c = ^L²(Σf)² / _{4(Σc + Σf)}

Where:

V_f = Volume of the Fill on the Land
L = Grid Spacing
Ec = Cut on Grid Corners
Ef = Fill on Grid Corners

Let’s solve an example;
Find the volume of the fill on the land when the grid spacing is 12, the cur on grid corners is 16 and the fill on grid corners is 21.

This implies that;

L = Grid Spacing = 12
Ec = Cut on Grid Corners = 16
Ef = Fill on Grid Corners = 21

V_c = ^L²(Σf)² / _{4(Σc + Σf)}
V_c = ^(12)²(21)² / _{4(16 + 21)}
Then, V_c = ^{(144) . (441)} / ₄₍₃₇₎
V_c = ⁶³⁵⁰⁴ / ₁₄₈
V_c = 429.08

Therefore, the volume of the fill on the land is 429.08.

Read more: How to Calculate and Solve for Volume of the cut on the land | Land Development

How to Calculate the Volume of the fill on the Land Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of the fill on the land.

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

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

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

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
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 Agricultural under Engineering.

Now, Click on Land Development under Agricultural

Now, Click on Volume of the Fill on the Land under Land Development

The screenshot below displays the page or activity to enter your values, to get the answer for the volume of the fill on the land according to the respective parameters which is the Grid spacing (L), Cut on grid corners (Σc), Fill on the grid corners (Σf).

Now, enter the values appropriately and accordingly for the parameters as required by the Grid spacing (L) is 12, Cut on grid corners (Σc) is 16, Fill on the grid corners (Σf) is 21.

Finally, Click on Calculate

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