Practice Quiz

Surveying FS

Category - Plane Survey Calc

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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 sq ft 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?
  1. 1,393
  2. 12,640
  3. 37,600
  4. None of the above
Explanation
Answer: A - 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 sq. ft and A2 = 332 sq. ft

V = (100 ft) (420 ft2 + 332ft2) / 2 = 37,600 ft3

= 37,600 ft3 x (1 cubic yard/ 27 ft3) = 1,393 cubic yards (approximate)
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