Enter the area of the site and the difference between the depth of cut and depth of fill into the calculator to determine the volume of cut and fill. This calculator can also evaluate any of the variables given the others are known.

Cut And Fill Formula

The following formula is used to calculate the volume of cut and fill in earthwork construction.

V = A * (Dc - Df)

Variables:

  • V is the volume of cut and fill
  • A is the area of the site
  • Dc is the depth of cut
  • Df is the depth of fill

To calculate the volume of cut and fill, subtract the depth of fill from the depth of cut, then multiply the result by the area of the site. This will give you the total volume of earth that needs to be moved.

What is a Cut And Fill?

Cut and fill is a construction method used in civil engineering to level or shape the land for building purposes. It involves cutting into the earth to remove excess material and using it to fill in low-lying areas. This process is often used in the construction of roads, railways, and canals, and it helps to minimize the cost and time of transporting excess material. It also helps to maintain the balance between cut and fill, reducing the environmental impact.

How to Calculate Cut And Fill?

The following steps outline how to calculate the Cut And Fill using the formula: V = A * (Dc – Df).


  1. First, determine the area of the site (A).
  2. Next, determine the depth of cut (Dc).
  3. Next, determine the depth of fill (Df).
  4. Next, insert the values of A, Dc, and Df into the formula V = A * (Dc – Df).
  5. Finally, calculate the volume of cut and fill (V).

Example Problem:

Use the following variables as an example problem to test your knowledge.

Area of the site (A) = 100 square meters

Depth of cut (Dc) = 5 meters

Depth of fill (Df) = 3 meters