Mulch worksheet

1. Mulch needed: 0.82 m³

1. Find the area of the bed by multiplying the length by the width

   $8\times 1.6$$=12.8\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $12.8\times \frac{6.4}{100}$$=0.8192\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.8192\times \mathrm{1,000}$$=819.2\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{819.2}{40}$$=20.48$$=\text{round up →}21$

5. Find the cost in bags: the number of bags times the price of one bag

   $21\times \mathrm{\$4.00}$$=\mathrm{\$84.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.8192\text{\hspace{0.17em}m³}\times \mathrm{\$38.00}$$=\mathrm{\$31.13}$

2. Mulch needed: 1.33 yd³

1. Find the area of the bed by multiplying the length by the width

   $24\times 6$$=144\text{\hspace{0.17em}ft²}$

2. Find the volume: the area times the depth, after turning inches into feet (÷ 12) so the units match

   $144\times \frac{3}{12}$$=36\text{\hspace{0.17em}ft³}$

3. Turn cubic feet into cubic yards, the unit for bulk mulch (27 ft³ in 1 yd³)

   $\frac{36}{27}$$=1.333333\text{\hspace{0.17em}yd³}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{36}{2}$$=18$$=\text{round up →}18$

5. Find the cost in bags: the number of bags times the price of one bag

   $18\times \mathrm{\$3.00}$$=\mathrm{\$54.00}$

6. Find the bulk cost: the yd³ you need times the price per yd³ (delivery not included)

   $1.333333\text{\hspace{0.17em}yd³}\times \mathrm{\$38.00}$$=\mathrm{\$50.67}$

3. Mulch needed: 0.9 m³

1. Find the area of the bed by multiplying the length by the width

   $7\times 2$$=14\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $14\times \frac{6.4}{100}$$=0.896\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.896\times \mathrm{1,000}$$=896\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{896}{65}$$=13.784615$$=\text{round up →}14$

5. Find the cost in bags: the number of bags times the price of one bag

   $14\times \mathrm{\$4.00}$$=\mathrm{\$56.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.896\text{\hspace{0.17em}m³}\times \mathrm{\$46.00}$$=\mathrm{\$41.22}$

4. Mulch needed: 1.22 yd³

1. Find the area of the bed by multiplying the length by the width

   $22\times 6$$=132\text{\hspace{0.17em}ft²}$

2. Find the volume: the area times the depth, after turning inches into feet (÷ 12) so the units match

   $132\times \frac{3}{12}$$=33\text{\hspace{0.17em}ft³}$

3. Turn cubic feet into cubic yards, the unit for bulk mulch (27 ft³ in 1 yd³)

   $\frac{33}{27}$$=1.222222\text{\hspace{0.17em}yd³}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{33}{2}$$=16.5$$=\text{round up →}17$

5. Find the cost in bags: the number of bags times the price of one bag

   $17\times \mathrm{\$3.00}$$=\mathrm{\$51.00}$

6. Find the bulk cost: the yd³ you need times the price per yd³ (delivery not included)

   $1.222222\text{\hspace{0.17em}yd³}\times \mathrm{\$32.00}$$=\mathrm{\$39.11}$

5. Mulch needed: 0.48 yd³

1. Find the area of the round bed: π (about 3.14) times half the width, squared

   $\pi \times {\left(\frac{10}{2}\right)}^2$$=78.539816\text{\hspace{0.17em}ft²}$

2. Find the volume: the area times the depth, after turning inches into feet (÷ 12) so the units match

   $78.539816\times \frac{2}{12}$$=13.089969\text{\hspace{0.17em}ft³}$

3. Turn cubic feet into cubic yards, the unit for bulk mulch (27 ft³ in 1 yd³)

   $\frac{13.089969}{27}$$=0.484814\text{\hspace{0.17em}yd³}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{13.089969}{3}$$=4.363323$$=\text{round up →}5$

5. Find the cost in bags: the number of bags times the price of one bag

   $5\times \mathrm{\$5.00}$$=\mathrm{\$25.00}$

6. Find the bulk cost: the yd³ you need times the price per yd³ (delivery not included)

   $0.484814\text{\hspace{0.17em}yd³}\times \mathrm{\$22.00}$$=\mathrm{\$10.67}$

6. Mulch needed: 0.58 m³

1. Find the area of the bed by multiplying the length by the width

   $7\times 1.5$$=10.5\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $10.5\times \frac{5.5}{100}$$=0.5775\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.5775\times \mathrm{1,000}$$=577.5\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{577.5}{49}$$=11.785714$$=\text{round up →}12$

5. Find the cost in bags: the number of bags times the price of one bag

   $12\times \mathrm{\$4.00}$$=\mathrm{\$48.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.5775\text{\hspace{0.17em}m³}\times \mathrm{\$40.00}$$=\mathrm{\$23.10}$

7. Mulch needed: 0.67 m³

1. Find the area of the bed by multiplying the length by the width

   $6\times 1.6$$=9.6\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $9.6\times \frac{7}{100}$$=0.672\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.672\times \mathrm{1,000}$$=672\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{672}{58}$$=11.586207$$=\text{round up →}12$

5. Find the cost in bags: the number of bags times the price of one bag

   $12\times \mathrm{\$3.00}$$=\mathrm{\$36.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.672\text{\hspace{0.17em}m³}\times \mathrm{\$50.00}$$=\mathrm{\$33.60}$

8. Mulch needed: 0.36 yd³

1. Find the area of the round bed: π (about 3.14) times half the width, squared

   $\pi \times {\left(\frac{7}{2}\right)}^2$$=38.48451\text{\hspace{0.17em}ft²}$

2. Find the volume: the area times the depth, after turning inches into feet (÷ 12) so the units match

   $38.48451\times \frac{3}{12}$$=9.621128\text{\hspace{0.17em}ft³}$

3. Turn cubic feet into cubic yards, the unit for bulk mulch (27 ft³ in 1 yd³)

   $\frac{9.621128}{27}$$=0.356338\text{\hspace{0.17em}yd³}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{9.621128}{2}$$=4.810564$$=\text{round up →}5$

5. Find the cost in bags: the number of bags times the price of one bag

   $5\times \mathrm{\$4.00}$$=\mathrm{\$20.00}$

6. Find the bulk cost: the yd³ you need times the price per yd³ (delivery not included)

   $0.356338\text{\hspace{0.17em}yd³}\times \mathrm{\$43.00}$$=\mathrm{\$15.32}$

9. Mulch needed: 0.53 m³

1. Find the area of the bed by multiplying the length by the width

   $6\times 1.3$$=7.8\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $7.8\times \frac{6.8}{100}$$=0.5304\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.5304\times \mathrm{1,000}$$=530.4\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{530.4}{40}$$=13.26$$=\text{round up →}14$

5. Find the cost in bags: the number of bags times the price of one bag

   $14\times \mathrm{\$3.00}$$=\mathrm{\$42.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.5304\text{\hspace{0.17em}m³}\times \mathrm{\$50.00}$$=\mathrm{\$26.52}$

10. Mulch needed: 0.43 m³

1. Find the area of the round bed: π (about 3.14) times half the width, squared

   $\pi \times {\left(\frac{2.8}{2}\right)}^2$$=6.157522\text{\hspace{0.17em}m²}$

2. Find the volume: the area times the depth, after turning centimeters into meters (÷ 100) so the units match

   $6.157522\times \frac{7}{100}$$=0.431027\text{\hspace{0.17em}m³}$

3. Turn cubic meters into liters, since bags are labeled in liters (1,000 L in 1 m³)

   $0.431027\times \mathrm{1,000}$$=431.026512\text{\hspace{0.17em}L}$

4. Divide by the bag size, then round up, because you can only buy whole bags

   $\frac{431.026512}{34}$$=12.67725$$=\text{round up →}13$

5. Find the cost in bags: the number of bags times the price of one bag

   $13\times \mathrm{\$3.00}$$=\mathrm{\$39.00}$

6. Find the bulk cost: the m³ you need times the price per m³ (delivery not included)

   $0.431027\text{\hspace{0.17em}m³}\times \mathrm{\$55.00}$$=\mathrm{\$23.71}$