This document estimates the quantities for excavation, backfill, and structures needed for a construction project with 4 sections (A, B, C, D). It calculates the volume of excavation for each section by finding the average area and height and multiplying by the length. The total excavation volume is 8162.97 cubic feet. It also calculates the volume of structures and backfill needed for each section and in total. The total volume of structures is 878.7 cubic feet and the total backfill volume required is 7284.27 cubic feet.
2. Contents
Volume of excavation..................................................................................................................... 3
At section A ................................................................................................................................ 3
At section B................................................................................................................................. 4
At section C................................................................................................................................. 4
At section D ................................................................................................................................ 4
Volume of backfill required............................................................................................................ 5
Volume of structures....................................................................................................................... 5
At section A ................................................................................................................................ 5
At section B................................................................................................................................. 5
At section C................................................................................................................................. 5
At section D ................................................................................................................................ 5
Back fill volume.............................................................................................................................. 6
3. Quantity estimation assignment
Volume of excavation
At sectionA
Average level at A = 42 + 41.3 / 2 = 41.65 ft
Average height at A = 41.65 36.2 = 5.45 ft
Width at the top = 5.45 x 2 + 4 = 14.9 ft
4. Average area = (4+14.9)/2 x 5.45 = 51.5 sq ft
Volume at section A = 51.5 x 38 = 1957.1 cubic feet
At sectionB
Average level at B = 43.9 + 43.9 / 2 = 43.9 ft
Average height at A = 43.9 36.2 = 7.7 ft
Width at the top = 7.7 x 2 + 4 = 19.4 ft
Average area = (4+19.4)/2 x 7.7 = 90.1 sq ft
Volume at section B = 90.1 x 38 = 3423.42 cubic feet
At sectionC
Average level at C = 42 + 43.9 / 2 = 42.95 ft
Average height at C = 42.95 36.2 = 6.75 ft
Width at the top = 6.75 x 2 + 4 = 17.5 ft
Average area = (4+17.5)/2 x 6.75 = 72.56 sq ft
Volume at section C = 72.56 x 20 = 1451.25 cubic feet
At sectionD
Average level at D = 43.9 + 41.3 / 2 = 42.6 ft
Average height at D = 42.6 36.2 = 6.4 ft
Width at the top = 6.4 x 2 + 4 = 16.8 ft
Average area = (4+16.8)/2 x 6.4 = 66.56 sq ft
Volume at section D = 66.56 x 20 = 1331.2 cubic feet
Total volume of excavation = VA + VB + VC+ VD
Total volume of excavation = 1957.1+ 3423.42+1451.25+ 1331.2
Total volume of excavation = 8162.97 cubic feet
5. Volume of backfill required
Volume of structures
At sectionA
Volume of structure at A = 2 x 1 x 38 + (5.45- 1) x 1 x 38
Volume of structure at A = 245.1 cubic feet
At sectionB
Volume of structure at B = 2 x 1 x 38 + (7.7- 1) x 1 x 38
Volume of structure at B = 330.6 cubic feet
At sectionC
Volume of structure at C = 2 x 1 x 20 + (6.75- 1) x 1 x 20
Volume of structure at C = 155 cubic feet
At sectionD
Volume of structure at D = 2 x 1 x 20 + (6.4- 1) x 1 x 38
Volume of structure at D = 148 cubic feet
Total volume of structures = 245.1 +330.6 + 155+ 148
Total volume of structures = 878.7 cubic feet
6. Back fill volume
Back fill volume = excavated volume volume of structure
Back fill volume = 8162.97 878.7
Back fill volume = 7284.27