Practice Question: Estimate Excavation Volume Based on Prismoidal Formula

---

---

Solution

Answer: C) 7735 CY

Prismoidal Formula:

\[V=L\frac{A_1+4A_m+A_2}{6}\]where:

\(A_1 = \text{end area of cross section 1}\)

\(A_2 = \text{end area of cross section 2}\)

\(A_m = \text{area of midsection}\)

Distance between end cross sections:

\[L=140 \ ft\]

Volume Estimate:

\[V=140\ ft\frac{1200+4×1600+1350}{6}=208833.3ft^3\]

\[V=208833.3 ft^3 \approx7735 \ CY\]
 

---