Excavation worksheet

1. Bank volume (in the ground): 17.45 yd³

1. Find the volume of one round dig: the area of its circle floor times its depth

   $\pi \times 5^2\times 3$$=235.6194\text{\hspace{0.17em}ft³}$

2. Multiply by the 2 identical digs

   $235.6194\times 2$$=471.2389\text{\hspace{0.17em}ft³}$

3. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{471.2389}{27}$$=17.4533\text{\hspace{0.17em}yd³}$

4. Add 20% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $17.4533\times 1.2$$=20.944\text{\hspace{0.17em}yd³}$

5. Divide the loose volume by 9 yd³ per load, then round up, since a part load is still a trip

   $\frac{20.944}{9}$$=2.3271$$=\text{rounded up:}3$

2. Bank volume (in the ground): 52 yd³

1. Find the volume of one dig: length times width times depth

   $18\times 13\times 3$$=702\text{\hspace{0.17em}ft³}$

2. Multiply by the 2 identical digs

   $702\times 2$$=\mathrm{1,404}\text{\hspace{0.17em}ft³}$

3. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{\mathrm{1,404}}{27}$$=52\text{\hspace{0.17em}yd³}$

4. Add 20% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $52\times 1.2$$=62.4\text{\hspace{0.17em}yd³}$

5. Divide the loose volume by 10 yd³ per load, then round up, since a part load is still a trip

   $\frac{62.4}{10}$$=6.24$$=\text{rounded up:}7$

3. Bank volume (in the ground): 160 yd³

1. Find the volume of one dig: length times width times depth

   $20\times 18\times 4$$=\mathrm{1,440}\text{\hspace{0.17em}ft³}$

2. Multiply by the 3 identical digs

   $\mathrm{1,440}\times 3$$=\mathrm{4,320}\text{\hspace{0.17em}ft³}$

3. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{\mathrm{4,320}}{27}$$=160\text{\hspace{0.17em}yd³}$

4. Add 22% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $160\times 1.22$$=195.2\text{\hspace{0.17em}yd³}$

5. Divide the loose volume by 13 yd³ per load, then round up, since a part load is still a trip

   $\frac{195.2}{13}$$=15.0154$$=\text{rounded up:}16$

4. Bank volume (in the ground): 8.38 yd³

1. Find the volume of one round dig: the area of its circle floor times its depth

   $\pi \times 6^2\times 2$$=226.1947\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{226.1947}{27}$$=8.3776\text{\hspace{0.17em}yd³}$

3. Add 29% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $8.3776\times 1.29$$=10.8071\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 10 yd³ per load, then round up, since a part load is still a trip

   $\frac{10.8071}{10}$$=1.0807$$=\text{rounded up:}2$

5. Bank volume (in the ground): 5.59 yd³

1. Find the volume of one round dig: the area of its circle floor times its depth

   $\pi \times 4^2\times 3$$=150.7964\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{150.7964}{27}$$=5.5851\text{\hspace{0.17em}yd³}$

3. Add 30% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $5.5851\times 1.3$$=7.2606\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 9 yd³ per load, then round up, since a part load is still a trip

   $\frac{7.2606}{9}$$=0.8067$$=\text{rounded up:}1$

6. Bank volume (in the ground): 16.76 yd³

1. Find the volume of one round dig: the area of its circle floor times its depth

   $\pi \times 6^2\times 4$$=452.3893\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{452.3893}{27}$$=16.7552\text{\hspace{0.17em}yd³}$

3. Add 28% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $16.7552\times 1.28$$=21.4466\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 14 yd³ per load, then round up, since a part load is still a trip

   $\frac{21.4466}{14}$$=1.5319$$=\text{rounded up:}2$

7. Bank volume (in the ground): 21.33 yd³

1. Find the volume of one dig: length times width times depth

   $16\times 18\times 2$$=576\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{576}{27}$$=21.3333\text{\hspace{0.17em}yd³}$

3. Add 28% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $21.3333\times 1.28$$=27.3067\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 9 yd³ per load, then round up, since a part load is still a trip

   $\frac{27.3067}{9}$$=3.0341$$=\text{rounded up:}4$

8. Bank volume (in the ground): 3.72 yd³

1. Find the volume of one round dig: the area of its circle floor times its depth

   $\pi \times 4^2\times 2$$=100.531\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{100.531}{27}$$=3.7234\text{\hspace{0.17em}yd³}$

3. Add 24% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $3.7234\times 1.24$$=4.617\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 8 yd³ per load, then round up, since a part load is still a trip

   $\frac{4.617}{8}$$=0.5771$$=\text{rounded up:}1$

9. Bank volume (in the ground): 24.44 yd³

1. Find the volume of one dig: length times width times depth

   $22\times 15\times 2$$=660\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{660}{27}$$=24.4444\text{\hspace{0.17em}yd³}$

3. Add 30% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $24.4444\times 1.3$$=31.7778\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 9 yd³ per load, then round up, since a part load is still a trip

   $\frac{31.7778}{9}$$=3.5309$$=\text{rounded up:}4$

10. Bank volume (in the ground): 28 yd³

1. Find the volume of one dig: length times width times depth

   $18\times 14\times 3$$=756\text{\hspace{0.17em}ft³}$

2. Divide by 27 to get cubic yards, since a cubic yard holds 27 cubic feet. This is the bank volume, the soil as it sits in the ground

   $\frac{756}{27}$$=28\text{\hspace{0.17em}yd³}$

3. Add 28% swell, because dug soil fluffs up, to get the loose volume you'll haul

   $28\times 1.28$$=35.84\text{\hspace{0.17em}yd³}$

4. Divide the loose volume by 13 yd³ per load, then round up, since a part load is still a trip

   $\frac{35.84}{13}$$=2.7569$$=\text{rounded up:}3$