# Earthwork Cross-section Area

Written by Jerry Ratzlaff on . Posted in Civil Engineering

Earthwork cross-section area can be for small or large areas.

## Earthwork Cross-Section Area formula

 $$\large{ A_c = \frac{ 1 }{ 2 } \; \sum_{i = 1}^n \; x \; \left( y_{i + 1} \;-\; y_{i - 1} \right) }$$

### Where:

 Units English Metric $$\large{ A_c }$$ = area cross-section $$\large{ft^2}$$ $$\large{m^2}$$ $$\large{ x_i }$$ = horizontal axis $$\large{ft}$$ $$\large{m}$$ $$\large{ y_i }$$ = vertical axis $$\large{ft}$$ $$\large{m}$$ $$\large{ n }$$ = number of points on cross-section $$\large{dimensionless}$$