Retaining Wall worksheet

1. Wall blocks: 113

1. Blocks per course: wall length ÷ the 18 in block, rounded up, since you can't buy part of a block

   $\frac{216\text{\hspace{0.17em}in}}{18\text{\hspace{0.17em}in}}$$=12$$=\text{rounded up:}12$

2. Courses (rows): height above ground ÷ the 5 in block height, rounded up so the wall is tall enough, plus 1 buried

   $8+1$$=9$

3. Blocks: per course × courses, plus 4% extra for cuts and breakage, rounded up

   $12\times 9\times 1.04$$=112.32$$=\text{rounded up:}113$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{216}{13}\times 1.04$$=\text{rounded up:}18$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $18\times 3.75\times 1.1667$$=78.75\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $18\times 1.75\times 0.5833$$=18.375\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.1 for tons, the ways suppliers sell it

   $\frac{\left(78.75+18.375\right)}{27}$$=3.597\text{\hspace{0.17em}yd³}$$=3.957\text{\hspace{0.17em}tons}$

2. Wall blocks: 89

1. Blocks per course: wall length ÷ the 22 in block, rounded up, since you can't buy part of a block

   $\frac{264\text{\hspace{0.17em}in}}{22\text{\hspace{0.17em}in}}$$=12$$=\text{rounded up:}12$

2. Courses (rows): height above ground ÷ the 7 in block height, rounded up so the wall is tall enough, plus 1 buried

   $6+1$$=7$

3. Blocks: per course × courses, plus 5% extra for cuts and breakage, rounded up

   $12\times 7\times 1.05$$=88.2$$=\text{rounded up:}89$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{264}{15}\times 1.05$$=\text{rounded up:}19$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $22\times 4.0833\times 0.8333$$=74.861\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $22\times 2.4167\times 0.5$$=26.583\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.4 for tons, the ways suppliers sell it

   $\frac{\left(74.861+26.583\right)}{27}$$=3.757\text{\hspace{0.17em}yd³}$$=5.26\text{\hspace{0.17em}tons}$

3. Wall blocks: 81

1. Blocks per course: wall length ÷ the 15 in block, rounded up, since you can't buy part of a block

   $\frac{156\text{\hspace{0.17em}in}}{15\text{\hspace{0.17em}in}}$$=10.4$$=\text{rounded up:}11$

2. Courses (rows): height above ground ÷ the 7 in block height, rounded up so the wall is tall enough, plus 1 buried

   $6+1$$=7$

3. Blocks: per course × courses, plus 5% extra for cuts and breakage, rounded up

   $11\times 7\times 1.05$$=80.85$$=\text{rounded up:}81$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{156}{13}\times 1.05$$=\text{rounded up:}13$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $13\times 4.0833\times 0.8333$$=44.236\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $13\times 1.9167\times 0.5833$$=14.535\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.1 for tons, the ways suppliers sell it

   $\frac{\left(44.236+14.535\right)}{27}$$=2.177\text{\hspace{0.17em}yd³}$$=2.394\text{\hspace{0.17em}tons}$

4. Wall blocks: 102

1. Blocks per course: wall length ÷ the 16 in block, rounded up, since you can't buy part of a block

   $\frac{216\text{\hspace{0.17em}in}}{16\text{\hspace{0.17em}in}}$$=13.5$$=\text{rounded up:}14$

2. Courses (rows): height above ground ÷ the 6 in block height, rounded up so the wall is tall enough, plus 1 buried

   $6+1$$=7$

3. Blocks: per course × courses, plus 4% extra for cuts and breakage, rounded up

   $14\times 7\times 1.04$$=101.92$$=\text{rounded up:}102$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{216}{11}\times 1.04$$=\text{rounded up:}21$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $18\times 3.5\times 1$$=63\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $18\times 1.75\times 0.4167$$=13.125\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.5 for tons, the ways suppliers sell it

   $\frac{\left(63+13.125\right)}{27}$$=2.819\text{\hspace{0.17em}yd³}$$=4.229\text{\hspace{0.17em}tons}$

5. Wall blocks: 167

1. Blocks per course: wall length ÷ the 15 in block, rounded up, since you can't buy part of a block

   $\frac{264\text{\hspace{0.17em}in}}{15\text{\hspace{0.17em}in}}$$=17.6$$=\text{rounded up:}18$

2. Courses (rows): height above ground ÷ the 6 in block height, rounded up so the wall is tall enough, plus 1 buried

   $8+1$$=9$

3. Blocks: per course × courses, plus 3% extra for cuts and breakage, rounded up

   $18\times 9\times 1.03$$=166.86$$=\text{rounded up:}167$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{264}{12}\times 1.03$$=\text{rounded up:}23$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $22\times 4.5\times 0.6667$$=66\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $22\times 2.3333\times 0.5833$$=29.944\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.3 for tons, the ways suppliers sell it

   $\frac{\left(66+29.944\right)}{27}$$=3.553\text{\hspace{0.17em}yd³}$$=4.62\text{\hspace{0.17em}tons}$

6. Wall blocks: 132

1. Blocks per course: wall length ÷ the 14 in block, rounded up, since you can't buy part of a block

   $\frac{192\text{\hspace{0.17em}in}}{14\text{\hspace{0.17em}in}}$$=13.7143$$=\text{rounded up:}14$

2. Courses (rows): height above ground ÷ the 7 in block height, rounded up so the wall is tall enough, plus 2 buried

   $7+2$$=9$

3. Blocks: per course × courses, plus 4% extra for cuts and breakage, rounded up

   $14\times 9\times 1.04$$=131.04$$=\text{rounded up:}132$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{192}{12}\times 1.04$$=\text{rounded up:}17$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $16\times 5.25\times 1.0833$$=91\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $16\times 1.9167\times 0.5$$=15.333\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.6 for tons, the ways suppliers sell it

   $\frac{\left(91+15.333\right)}{27}$$=3.938\text{\hspace{0.17em}yd³}$$=6.301\text{\hspace{0.17em}tons}$

7. Wall blocks: 103

1. Blocks per course: wall length ÷ the 20 in block, rounded up, since you can't buy part of a block

   $\frac{264\text{\hspace{0.17em}in}}{20\text{\hspace{0.17em}in}}$$=13.2$$=\text{rounded up:}14$

2. Courses (rows): height above ground ÷ the 7 in block height, rounded up so the wall is tall enough, plus 1 buried

   $6+1$$=7$

3. Blocks: per course × courses, plus 5% extra for cuts and breakage, rounded up

   $14\times 7\times 1.05$$=102.9$$=\text{rounded up:}103$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{264}{12}\times 1.05$$=\text{rounded up:}24$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $22\times 4.0833\times 1.0833$$=97.319\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $22\times 2.3333\times 0.4167$$=21.389\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.4 for tons, the ways suppliers sell it

   $\frac{\left(97.319+21.389\right)}{27}$$=4.397\text{\hspace{0.17em}yd³}$$=6.155\text{\hspace{0.17em}tons}$

8. Wall blocks: 208

1. Blocks per course: wall length ÷ the 18 in block, rounded up, since you can't buy part of a block

   $\frac{312\text{\hspace{0.17em}in}}{18\text{\hspace{0.17em}in}}$$=17.3333$$=\text{rounded up:}18$

2. Courses (rows): height above ground ÷ the 4 in block height, rounded up so the wall is tall enough, plus 2 buried

   $9+2$$=11$

3. Blocks: per course × courses, plus 5% extra for cuts and breakage, rounded up

   $18\times 11\times 1.05$$=207.9$$=\text{rounded up:}208$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{312}{12}\times 1.05$$=\text{rounded up:}28$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $26\times 3.6667\times 1.0833$$=103.278\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $26\times 2.0833\times 0.4167$$=22.569\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1 for tons, the ways suppliers sell it

   $\frac{\left(103.278+22.569\right)}{27}$$=4.661\text{\hspace{0.17em}yd³}$$=4.661\text{\hspace{0.17em}tons}$

9. Wall blocks: 74

1. Blocks per course: wall length ÷ the 18 in block, rounded up, since you can't buy part of a block

   $\frac{240\text{\hspace{0.17em}in}}{18\text{\hspace{0.17em}in}}$$=13.3333$$=\text{rounded up:}14$

2. Courses (rows): height above ground ÷ the 6 in block height, rounded up so the wall is tall enough, plus 1 buried

   $4+1$$=5$

3. Blocks: per course × courses, plus 5% extra for cuts and breakage, rounded up

   $14\times 5\times 1.05$$=73.5$$=\text{rounded up:}74$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{240}{15}\times 1.05$$=\text{rounded up:}17$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $20\times 2.5\times 0.9167$$=45.833\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $20\times 2.3333\times 0.5833$$=27.222\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1.1 for tons, the ways suppliers sell it

   $\frac{\left(45.833+27.222\right)}{27}$$=2.706\text{\hspace{0.17em}yd³}$$=2.976\text{\hspace{0.17em}tons}$

10. Wall blocks: 124

1. Blocks per course: wall length ÷ the 16 in block, rounded up, since you can't buy part of a block

   $\frac{264\text{\hspace{0.17em}in}}{16\text{\hspace{0.17em}in}}$$=16.5$$=\text{rounded up:}17$

2. Courses (rows): height above ground ÷ the 7 in block height, rounded up so the wall is tall enough, plus 1 buried

   $6+1$$=7$

3. Blocks: per course × courses, plus 4% extra for cuts and breakage, rounded up

   $17\times 7\times 1.04$$=123.76$$=\text{rounded up:}124$

4. Caps: wall length ÷ cap length, plus the same extra, rounded up

   $\frac{264}{13}\times 1.04$$=\text{rounded up:}22$

5. Drainage gravel behind the wall: length × built height × zone width (all in feet)

   $22\times 4.0833\times 0.9167$$=82.347\text{\hspace{0.17em}ft³}$

6. Base gravel under the wall: length × trench width × base depth

   $22\times 2.0833\times 0.5$$=22.917\text{\hspace{0.17em}ft³}$

7. Add them up. Divide by 27 for cubic yards, then × 1 for tons, the ways suppliers sell it

   $\frac{\left(82.347+22.917\right)}{27}$$=3.899\text{\hspace{0.17em}yd³}$$=3.899\text{\hspace{0.17em}tons}$