Using the cross-sectional method, determine the cuts and fill for the project. The grids are 50 feet apart in both directions. The existing grade appears above the proposed grade. Express your cuts in bank cubic yards (bcy) and your fills in compacted cubic yards (ccy).

Question

What will be an ideal response?

Answer 1

The cuts and fills are shown in Figure 10-1.







Figure 10-1

The dividing line between the cuts and fills and the distances from the grid intersections to this line are shown in Figure 10-2.







Figure 10-2



Unless the division line between the cuts and fills passes through a cell, the cut or fill area is 2,500 square feet (50 ft × 50 ft). The cuts and fills are as follows:



Cell 1:



Cut1 = (0? + 0? + 0? + 0.1?) / 4 × 2,500 sf = 62 bcf



Fill1 = 0 ccf



Cell 2:



Cut2 = (0? + 0? + 0.1? + 0.3?) / 4 × 2,500 sf = 250 bcf



Fill2 = 0 ccf



Cell 3:



Cut3 = (0? + 0? + 0.3? + 0.9?) / 4 × 2,500 sf = 750 bcf



Fill3 = 0 ccf



Cell 4:



Cut4 = (0? + 0? + 0.9? + 1.1?) / 4 × 2,500 sf = 1,250 bcf



Fill4 = 0 ccf



Cell 5:



Cut5 = (0? + 0? + 1.1? + 1.5?) / 4 × 2,500 sf = 1,625 bcf



Fill5 = 0 ccf



Cell 6:



Cut6 = (0? + 0? + 1.5? + 0?) / 4 × 2,500 sf = 938 bcf



Fill6 = 0 ccf



Cell 7:



Cut Area7 = (12.5? × 50?) / 2 = 312 sf



Cut7 = (0? + 0? + 0.1?) / 3 × 312 sf = 10 bcf



Fill Area7 = (37.5? × 50?) / 2 = 938 sf



Fill7 = (0? + 0? + 0.3?) / 3 × 938 sf = 94 ccf



Cell 8:



Cut Area8 = (50? × 50?) – (37.5? × 30?) / 2 = 1,938 sf



Cut8 = (0.1? + 0.3? + 0? + 0? + 0.2?) / 5 × 1,938 sf = 233 bcf



Fill Area8 = (37.5? × 30?) / 2 = 562 sf



Fill8 = (0? + 0.3? + 0?) / 3 × 562 sf = 56 ccf



Cell 9:



Cut9 = (0.3? + 0.9? + 0.2? + 0.4?) / 4 × 2,500 sf = 1,125 bcf



Fill9 = 0 ccf





Cell 10:



Cut10 = (0.9? + 1.1? + 0.4? + 0.7?) / 4 × 2,500 sf = 1,937 bcf



Fill10 = 0 ccf



Cell 11:



Cut11 = (1.1? + 1.5? + 0.7? + 0.9?) / 4 × 2,500 sf = 2,625 bcf



Fill11 = 0 ccf



Cell 12:



Cut12 = (1.5? + 0? + 0.9? + 0?) / 4 × 2,500 sf = 1,500 bcf



Fill12 = 0 ccf



Cell 13:



Cut13 = 0 bcf



Fill13 = (0? + 0.3? + 0? + 0.7?) / 4 × 2,500 sf = 625 ccf



Cell 14:



Cut Area14 = (20? × 33.3?) / 2 = 333 sf



Cut14 = (0? + 0.2? + 0?) / 3 × 333 sf = 22 bcf



Fill Area14 = (50? × 50?) – 333 sf = 2,167 sf



Fill14 = (0.3? + 0? + 0? + 0.7? + 0.1?) / 5 × 2,167 sf = 477 ccf



Cell 15:



Cut Area15 = (50? × 50?) – (16.7? × 12.5?) / 2 = 2,396 sf



Cut15 = (0.2? + 0.4? + 0? + 0? + 0.3?) / 5 × 2,396 sf = 431 bcf



Fill Area15 = (16.7? × 12.5?) / 2 = 104 sf



Fill15 = (0? + 0.1? + 0?) / 3 × 104 sf = 3 ccf



Cell 16:



Cut16 = (0.4? + 0.7? + 0.3? + 0.6?) / 4 × 2,500 sf = 1,250 bcf



Fill16 = 0 ccf



Cell 17:



Cut17 = (0.7? + 0.9? + 0.6? + 0.6?) / 4 × 2,500 sf = 1,750 bcf



Fill17 = 0 ccf



Cell 18:



Cut18 = (0.9? + 0? + 0.6? + 0?) / 4 × 2,500 sf = 938 bcf



Fill18 = 0 ccf



Cell 19:



Cut19 = 0 bcf



Fill19 = (0? + 0.7? + 0? + 1.2?) / 4 × 2,500 sf = 1,188 ccf



Cell 20:



Cut20 = 0 bcf



Fill20 = (0.7? + 0.1? + 1.2? + 0.9?) / 4 × 2,500 sf = 1,812 ccf



Cell 21:



Cut Area21 = (37.5? × 18.75?) / 2 = 352 sf



Cut21 = (0? + 0.3? + 0?) / 3 × 352 sf = 35 bcf



Fill Area21 = (50? × 50?) – 352 sf = 2,148 sf



Fill21 = (0.1? + 0? + 0? + 0.9? + 0.5?) / 5 × 2,148 sf = 644 ccf



Cell 22:



Cut Area22 = (50? × 50?) – (31.25? × 41.7?) / 2 = 1,848 sf



Cut22 = (0.3? + 0.6? + 0? + 0? + 0.1?) / 5 × 1,848 sf = 370 bcf



Fill Area22 = (31.25? × 41.7?) / 2 = 652 sf



Fill22 = (0? + 0.5? + 0?) / 3 × 652 sf = 109 ccf



Cell 23:



Cut23 = (0.6? + 0.6? + 0.1? + 0.2?) / 4 × 2,500 sf = 938 bcf



Fill23 = 0 ccf



Cell 24:



Cut24 = (0.6? + 0? + 0.2? + 0?) / 4 × 2,500 sf = 500 bcf



Fill24 = 0 ccf



Cell 25:



Cut25 = 0 bcf



Fill25 = (0? + 1.2? + 0? + 1.3?) / 4 × 2,500 sf = 1,562 ccf



Cell 26:



Cut26 = 0 bcf



Fill26 = (1.2? + 0.9? + 1.3? + 0.9?) / 4 × 2,500 sf = 2,688 ccf



Cell 27:



Cut27 = 0 bcf



Fill27 = (0.9? + 0.5? + 0.9? + 0.6?) / 4 × 2,500 sf = 1,812 ccf



Cell 28:



Cut Area28 = (8.3? × 8.3?) / 2 = 34 sf



Cut28 = (0? + 0.1? + 0?) / 3 × 34 sf = 1 bcf



Fill Area28 = (50? × 50?) – 34 sf = 2,466 sf



Fill28 = (0.5? + 0? + 0? + 0.6? + 0.5?) / 5 × 2,466 sf = 789 ccf



Cell 29:



Cut Area29 = 50? × (8.3? + 10?) / 2 = 458 sf



Cut29 = (0.1? + 0.2? + 0? + 0?) / 4 × 458 sf = 34 bcf



Fill Area29 = 50? × (41.7? + 40?) / 2 = 2,042 sf



Fill29 = (0? + 0? + 0.5? + 0.8?) / 4 × 2,042 sf = 664 ccf



Cell 30:



Cut Area30 = (10? × 50?) / 2 = 250 sf



Cut30 = (0? + 0? + 0.2?) / 3 × 250 sf = 17 bcf



Fill Area30 = (40? × 50?) / 2 = 1,000 sf



Fill30 = (0? + 0.8? + 0?) / 3 × 1,000 sf = 267 ccf



Cell 31:



Cut31 = 0 bcf



Fill31 = (0? + 1.3? + 0? + 0?) / 4 × 2,500 sf = 812 ccf



Cell 32:



Cut32 = 0 bcf



Fill32 = (1.3? + 0.9? + 0? + 0?) / 4 × 2,500 sf = 1,375 ccf



Cell 33:



Cut33 = 0 bcf



Fill33 = (0.9? + 0.6? + 0? + 0?) / 4 × 2,500 sf = 938 ccf



Cell 34:



Cut34 = 0 bcf



Fill34 = (0.6? + 0.5? + 0? + 0?) / 4 × 2,500 sf = 688 ccf



Cell 35:



Cut35 = 0 bcf



Fill35 = (0.5? + 0.8? + 0? + 0?) / 4 × 2,500 sf = 812 ccf



Cell 36:



Cut36 = 0 bcf



Fill36 = (0.8? + 0? + 0? + 0?) / 4 × 2,500 sf = 500 ccf



Total Cuts:



Total cuts = 62 bcf + 250 bcf + 750 bcf + 1,250 bcf + 1,625 bcf + 938 bcf + 10 bcf



+ 233 bcf + 1,125 bcf + 1,937 bcf + 2,625 bcf + 1,500 bcf + 0 bcf + 22 bcf



+ 431 bcf + 1,250 bcf + 1,750 bcf + 938 bcf + 0 bcf + 0 bcf + 35 bcf + 370 bcf



+ 938 bcf + 500 bcf + 0 bcf + 0 bcf + 0 bcf + 1 bcf + 34 bcf + 17 bcf + 0 bcf



+ 0 bcf + 0 bcf + 0 bcf + 0 bcf + 0 bcf



Total Cuts = 18,591 bcf / 27 cf per cy = 689 bcy



Total Fills:



Total Fills = + 0 ccf + 0 ccf + 0 ccf + 0 ccf + 0 ccf + 0 ccf + 94 ccf + 56 ccf + 0 ccf + 0 ccf



+ 0 ccf + 0 ccf + 625 ccf + 477 ccf + 3 ccf + 0 ccf + 0 ccf + 0 ccf + 1,188 ccf



+ 1,812 ccf + 644 ccf + 109 ccf + 0 ccf + 0 ccf + 1,562 ccf + 2,688 ccf



+ 1,812 ccf + 789 ccf + 664 ccf + 267 ccf + 812 ccf + 1,375 ccf + 938 ccf



+ 688 ccf + 812 ccf + 500 ccf



Total Fills = 17,915 ccf / 27 cf per cy = 664 ccy