Topsoil worksheet

1. Topsoil to order: 3.6 m³

1. Multiply length by width to get the area

   $8\times 3$$=24\text{\hspace{0.17em}m²}$

2. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $24\times \frac{15}{100}$$=3.6\text{\hspace{0.17em}m³}$

3. Add 0% extra, because loose soil settles after it is spread

   $3.6\times 1+\frac{0}{100}$$=3.6\text{\hspace{0.17em}m³}$

4. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{3.6\times \mathrm{1,000}}{25}$$=144$

5. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $3.6\times 1\times \mathrm{1,000}$$=\mathrm{3,600}\text{\hspace{0.17em}kg}$

2. Topsoil to order: 2.02 yd³

1. Multiply length by width to get the area

   $18\times 11$$=198\text{\hspace{0.17em}ft²}$

2. Multiply the area by the depth to get the volume, changing inches to feet first (÷ 12)

   $198\times \frac{3}{12}$$=49.5\text{\hspace{0.17em}ft³}$

3. Add 10% extra, because loose soil settles after it is spread

   $49.5\times 1+\frac{10}{100}$$=54.45\text{\hspace{0.17em}ft³}$

4. Divide by 27 to get cubic yards, since a cubic yard is 3 ft × 3 ft × 3 ft

   $\frac{54.45}{27}$$=2.016667\text{\hspace{0.17em}yd³}$

5. Divide the cubic feet by the bag size. Round up, since you can't buy part of a bag

   $\frac{54.45}{1.5}$$=36.3$

6. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $1.541852\times 1.4\times \mathrm{1,000}$$=\mathrm{2,158.59}\text{\hspace{0.17em}kg}$

3. Topsoil to order: 2.4 m³

1. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $16\times \frac{15}{100}$$=2.4\text{\hspace{0.17em}m³}$

2. Add 0% extra, because loose soil settles after it is spread

   $2.4\times 1+\frac{0}{100}$$=2.4\text{\hspace{0.17em}m³}$

3. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{2.4\times \mathrm{1,000}}{20}$$=120$

4. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $2.4\times 1.3\times \mathrm{1,000}$$=\mathrm{3,120}\text{\hspace{0.17em}kg}$

4. Topsoil to order: 3.55 yd³

1. Multiply the area by the depth to get the volume, changing inches to feet first (÷ 12)

   $250\times \frac{4}{12}$$=83.333333\text{\hspace{0.17em}ft³}$

2. Add 15% extra, because loose soil settles after it is spread

   $83.333333\times 1+\frac{15}{100}$$=95.833333\text{\hspace{0.17em}ft³}$

3. Divide by 27 to get cubic yards, since a cubic yard is 3 ft × 3 ft × 3 ft

   $\frac{95.833333}{27}$$=3.549383\text{\hspace{0.17em}yd³}$

4. Divide the cubic feet by the bag size. Round up, since you can't buy part of a bag

   $\frac{95.833333}{1}$$=95.8333$

5. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $2.713698\times 1.8\times \mathrm{1,000}$$=\mathrm{4,884.66}\text{\hspace{0.17em}kg}$

5. Topsoil to order: 5.4 m³

1. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $15\times \frac{30}{100}$$=4.5\text{\hspace{0.17em}m³}$

2. Add 20% extra, because loose soil settles after it is spread

   $4.5\times 1+\frac{20}{100}$$=5.4\text{\hspace{0.17em}m³}$

3. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{5.4\times \mathrm{1,000}}{40}$$=135$

4. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $5.4\times 1.4\times \mathrm{1,000}$$=\mathrm{7,560}\text{\hspace{0.17em}kg}$

6. Topsoil to order: 1.48 yd³

1. Multiply the area by the depth to get the volume, changing inches to feet first (÷ 12)

   $145\times \frac{3}{12}$$=36.25\text{\hspace{0.17em}ft³}$

2. Add 10% extra, because loose soil settles after it is spread

   $36.25\times 1+\frac{10}{100}$$=39.875\text{\hspace{0.17em}ft³}$

3. Divide by 27 to get cubic yards, since a cubic yard is 3 ft × 3 ft × 3 ft

   $\frac{39.875}{27}$$=1.476852\text{\hspace{0.17em}yd³}$

4. Divide the cubic feet by the bag size. Round up, since you can't buy part of a bag

   $\frac{39.875}{1.5}$$=26.5833$

5. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $1.129134\times 1.3\times \mathrm{1,000}$$=\mathrm{1,467.87}\text{\hspace{0.17em}kg}$

7. Topsoil to order: 1.3 yd³

1. Multiply length by width to get the area

   $20\times 10$$=200\text{\hspace{0.17em}ft²}$

2. Multiply the area by the depth to get the volume, changing inches to feet first (÷ 12)

   $200\times \frac{2}{12}$$=33.333333\text{\hspace{0.17em}ft³}$

3. Add 5% extra, because loose soil settles after it is spread

   $33.333333\times 1+\frac{5}{100}$$=35\text{\hspace{0.17em}ft³}$

4. Divide by 27 to get cubic yards, since a cubic yard is 3 ft × 3 ft × 3 ft

   $\frac{35}{27}$$=1.296296\text{\hspace{0.17em}yd³}$

5. Divide the cubic feet by the bag size. Round up, since you can't buy part of a bag

   $\frac{35}{0.75}$$=46.6667$

6. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $0.99109\times 1.3\times \mathrm{1,000}$$=\mathrm{1,288.42}\text{\hspace{0.17em}kg}$

8. Topsoil to order: 7.24 m³

1. Multiply length by width to get the area

   $7\times 3$$=21\text{\hspace{0.17em}m²}$

2. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $21\times \frac{30}{100}$$=6.3\text{\hspace{0.17em}m³}$

3. Add 15% extra, because loose soil settles after it is spread

   $6.3\times 1+\frac{15}{100}$$=7.245\text{\hspace{0.17em}m³}$

4. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{7.245\times \mathrm{1,000}}{25}$$=289.8$

5. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $7.245\times 1.2\times \mathrm{1,000}$$=\mathrm{8,694}\text{\hspace{0.17em}kg}$

9. Topsoil to order: 2.16 m³

1. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $12\times \frac{15}{100}$$=1.8\text{\hspace{0.17em}m³}$

2. Add 20% extra, because loose soil settles after it is spread

   $1.8\times 1+\frac{20}{100}$$=2.16\text{\hspace{0.17em}m³}$

3. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{2.16\times \mathrm{1,000}}{25}$$=86.4$

4. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $2.16\times 1.6\times \mathrm{1,000}$$=\mathrm{3,456}\text{\hspace{0.17em}kg}$

10. Topsoil to order: 1.15 m³

1. Multiply length by width to get the area

   $5\times 4$$=20\text{\hspace{0.17em}m²}$

2. Multiply the area by the depth to get the volume, changing cm to meters first (÷ 100)

   $20\times \frac{5}{100}$$=1\text{\hspace{0.17em}m³}$

3. Add 15% extra, because loose soil settles after it is spread

   $1\times 1+\frac{15}{100}$$=1.15\text{\hspace{0.17em}m³}$

4. Divide the liters by the bag size. Round up, since you can't buy part of a bag

   $\frac{1.15\times \mathrm{1,000}}{20}$$=57.5$

5. Weight: multiply the volume in m³ by the bulk density, then by 1,000 to turn tonnes into kilograms

   $1.15\times 1\times \mathrm{1,000}$$=\mathrm{1,150}\text{\hspace{0.17em}kg}$