# Earthwork Cross-section Area

on . Posted in Civil Engineering

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

## Earthwork Cross-Section Area formula

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