Cross-section measurements were taken at 100 ft intervals along a proposed roadway alignment. The cross-sectional areas of the material above the proposed roadway elevation shown in two consecutive sections were found to be 420 sqft and 332 sq ft. What is the approximate volume (in cubic yards) of the material that will need to be excavated between the two cross-sections?
A)1,393
B)12,640
C)37,600
D)None of the above

Question

Quizplus · Accepted Answer

The approximate volume of the material that will need to be excavated between the two cross-sections is 1,393 cubic yards. Solution Use the volume equation averaged over the two cross-sections v = L ( A₁ + A₂)/2 Where L = length = 100 ft A₁ = 420 sqft and A₂= 332 sqft V = (100 ft) (420 ft² + 332 ft²) / 2 = 37,600 ft³ = 37,600 ft³ x (1 cubic yard/ 27 ft³) = 1,393 cubic yards (approximate)

Cross-Section Measurements Were Taken at 100 Ft Intervals Along a Proposed