Using the average end area method, determine the required volume of the cuts and fills for a new road. The cuts and fills for each station are shown in Table 9.1. Express your answer in cubic yards.
What will be an ideal response?
The cuts and fills are calculated as follows:
Cut10 + 00 to 10 + 50 = (0 sf + 257 sf) / 2 × 50? = 6,425 bcf / 27 cf per cy = 238 bcy
Cut10 + 50 to 11 + 00 = (257 sf + 175 sf) / 2 × 50? = 10,800 bcf / 27 cf per cy = 400 bcy
Cut11 + 00 to 11 + 50 = (175 sf + 20 sf) / 2 × 50? = 4,875 bcf / 27 cf per cy = 181 bcy
Cut11 + 50 to 12 + 00 = (20 sf + 0 sf) / 2 × 50? = 500 bcf / 27 cf per cy = 19 bcy
Cut12 + 00 to 12 + 20 = (0 sf + 0 sf) / 2 × 20? = 0 bcf / 27 cf per cy = 0 bcy
Total Cuts = 238 bcy + 400 bcy + 181 bcy + 19 bcy + 0 bcy = 838 bcy
Fill10 + 00 to 10 + 50 = (0 sf + 0 sf) / 2 × 50? = 0 ccf / 27 cf per cy = 0 ccy
Fill10 + 50 to 11 + 00 = (0 sf + 50 sf) / 2 × 50? = 1,250 ccf / 27 cf per cy = 46 ccy
Fill11 + 00 to 11 + 50 = (50 sf + 285 sf) / 2 × 50? = 8,375 ccf / 27 cf per cy = 310 ccy
Fill11 + 50 to 12 + 00 = (285 sf + 233 sf) / 2 × 50? = 12,950 ccf / 27 cf per cy = 480 ccy
Fill12 + 00 to 12 + 20 = (233 sf + 0 sf) / 2 × 20? = 2,330 ccf / 27 cf per cy = 86 ccy
Total Fills = 0 ccy + 46 ccy + 310 ccy + 480 ccy + 86 ccy = 922 ccy
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