Solid Geometry Solutions
Topics || Problems
A trench is 180 ft. long and 12 ft. deep, 7 ft. wide at the top and 4ft. at the bottom. How many cubic yards of earth have been removed?
\(Vol = A_{trapezoid} ~(180)\)
\(A_{trapezoid} = \frac{7+4}{2} (12) \)
\(A_{trapezoid} =66\)
\(Vol = 66 (180)\)
\(Vol =11880~ft^3\)
\(3~ft = 1~yd\)
\(Vol = 11880 \frac{1yd^3}{27ft^3}\)
\(Vol = 440 ~yd^3\) Answer