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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.
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- 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