Question

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45. For the borrow pit shown in Figure 10-44, compute the excavated volume in cubic yards. The numbers at the grid points represent the depths of cut, in feet. 151 1.5 1.7 3 20 2.2 2.7 23 101 16 33 3.9 2.7 2011 2.1 -- 401 2.1 2.8 2.9 2.3 2011 19 20 40 40- tyd FIGURE 10-44. Illustration for Problem 45. A. 1944 Yd? OB. 4149 Yd? C. 1449 Yo? D.1339 Yd?

Answer 1

Volume of excavation is calculated A d 2 0 OD 2.1 let a, b,c,d are the depth of exCaration at four Corness and A is the top exlanation the Volume 1 = (a+b+c+d 201013 Area 04 2 1.9

Area rection Aug depth 1:5+17+1.6+22 1 = 1.75 Volume 1575 15+30x40=900 3360 1-5+2.2+1.4 +3:3 = 2.1 2 40 x 40 = 1600 1813.3 3 = 2.2666 3x dexte= 800 1.4 + 3.3+2.1 3 2.1 +28+3.9+3.3 4840 - 3.025 40 x 40 = 1600 40 40 s 3.3+3.9 +2.7+2.2 = 3.025 40x40 = 1600 3360 2.2+2.7+ 1.8+1.7 = 2.1 dox 40 = 1600 の 3520 1.+2.0+27+23 ㅋ 40 x 40 = 1600 2.2 4640 2.7+2 3+2 7+3.9 = 2.9 40 x 40 = 1600 946.66 9 2-3 +2.7 +31 3 2.3666 1 x 40 x 20= 400 4920 3-9 +2.7+2.8+2.9 – 3.075 40x40= 1600 11 20 * 40 2.7+ 2.1 +2:3+ 2.9 - 2.5 92 12 1/2 x 40x20= 400 2.3 2.1 + 2.0 +2.2 1920 13 2.0+ 2.94 2.04 19 = 2.4 20x 40 Boo 473.33 2.9+2.37 1.9 3 2.3666 5x20x20 = 200 Volume 39128 ft3

since I ft 3 = 0.037037 Cusic Hard so volume 39 128 x 0,037037 (Cesic tard) 1449. 183 Cubic Yard

Answer 2