Practice Question: Construction Earth work

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Solution

Answer: A) 290 CY fill

Calculate the volume of each square in the grid based on average elevation, then calculate the difference in volume to the specified elevation.

Step 1
Volume based on average elevation of each square:

\(V_{1} = [ \frac{(200+210+194+204)}{4} \times (25 \times 25) + \frac{(210+220+204+210)}{4} \times (25 \times 25) +\frac{(194+204+188+196)}{4} \times (25 \times 25) +\frac{(204+210+196+202)}{4} \times (25 \times 25)] \times \frac{1}{27}=18784.722\ CY \\\)

Step 2

Volume based on final elevation:

\(V_{2}= 206 \times 50 \times 50 / 27 = 19074.074 \ CY \\\)

Step 3

Subtract the calculated 2 volumes to get the cut/fill volumes to perform the leveling:

\(V=19074.074-18784.722 = 289.352\ CY \\\)

 

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