Paint worksheet

1. Cans to buy: 5 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(7+4\right)$$=22\text{\hspace{0.17em}m}$

2. Find the total wall area by multiplying the wall length by the height

   $22\times 2$$=44\text{\hspace{0.17em}m²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 0.9\times 1.8+2\times 1.3\times 2$$=6.82\text{\hspace{0.17em}m²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $44-6.82$$=37.18\text{\hspace{0.17em}m²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 12% for waste

   $\frac{37.18\times 2}{9}\times 1+0.12$$=9.253689\text{\hspace{0.17em}L}$

6. Divide by the 2 L can size and round up, because stores sell whole cans

   $\frac{9.253689}{2}$$=4.6268$$=\text{rounded up:}5$

7. Find the cost: the number of cans times the price of one can

   $5\times \mathrm{\$45.00}$$=\mathrm{\$225.00}$

2. Cans to buy: 4 cans

1. Find the total wall area by multiplying the wall length by the height

   $10\times 3$$=30\text{\hspace{0.17em}m²}$

2. Add up the area of the doors and windows, since you won't paint over them

   $1\times 1.1\times 1.6+2\times 1.4\times 1$$=4.56\text{\hspace{0.17em}m²}$

3. Take the doors and windows away to get the wall area you will actually paint

   $30-4.56$$=25.44\text{\hspace{0.17em}m²}$

4. Find the paint: the area times the coats, divided by how far the paint spreads, plus 9% for waste

   $\frac{25.44\times 2}{6}\times 1+0.09$$=9.2432\text{\hspace{0.17em}L}$

5. Divide by the 2.4 L can size and round up, because stores sell whole cans

   $\frac{9.2432}{2.4}$$=3.8513$$=\text{rounded up:}4$

6. Find the cost: the number of cans times the price of one can

   $4\times \mathrm{\$46.00}$$=\mathrm{\$184.00}$

3. Cans to buy: 2 cans

1. Find the total wall area by multiplying the wall length by the height

   $30\times 9$$=270\text{\hspace{0.17em}ft²}$

2. Add up the area of the doors and windows, since you won't paint over them

   $1\times 3\times 10+2\times 4\times 3$$=54\text{\hspace{0.17em}ft²}$

3. Take the doors and windows away to get the wall area you will actually paint

   $270-54$$=216\text{\hspace{0.17em}ft²}$

4. Find the paint: the area times the coats, divided by how far the paint spreads, plus 10% for waste

   $\frac{216\times 2}{380}\times 1+0.1$$=1.250526\text{\hspace{0.17em}gal}$

5. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{1.250526}{1}$$=1.2505$$=\text{rounded up:}2$

6. Find the cost: the number of cans times the price of one can

   $2\times \mathrm{\$38.00}$$=\mathrm{\$76.00}$

4. Cans to buy: 1 can

1. Find the total wall area by multiplying the wall length by the height

   $24\times 8$$=192\text{\hspace{0.17em}ft²}$

2. Add up the area of the doors and windows, since you won't paint over them

   $1\times 3\times 8+2\times 3\times 5$$=54\text{\hspace{0.17em}ft²}$

3. Take the doors and windows away to get the wall area you will actually paint

   $192-54$$=138\text{\hspace{0.17em}ft²}$

4. Find the paint: the area times the coats, divided by how far the paint spreads, plus 8% for waste

   $\frac{138\times 2}{370}\times 1+0.08$$=0.805622\text{\hspace{0.17em}gal}$

5. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{0.805622}{1}$$=0.8056$$=\text{rounded up:}1$

6. Find the cost: the number of cans times the price of one can

   $1\times \mathrm{\$39.00}$$=\mathrm{\$39.00}$

5. Cans to buy: 5 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(15+16\right)$$=62\text{\hspace{0.17em}ft}$

2. Find the total wall area by multiplying the wall length by the height

   $62\times 9$$=558\text{\hspace{0.17em}ft²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 3\times 8+2\times 3\times 3$$=42\text{\hspace{0.17em}ft²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $558-42$$=516\text{\hspace{0.17em}ft²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 9% for waste

   $\frac{516\times 3}{400}\times 1+0.09$$=4.2183\text{\hspace{0.17em}gal}$

6. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{4.2183}{1}$$=4.2183$$=\text{rounded up:}5$

7. Find the cost: the number of cans times the price of one can

   $5\times \mathrm{\$36.00}$$=\mathrm{\$180.00}$

6. Cans to buy: 3 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(16+9\right)$$=50\text{\hspace{0.17em}ft}$

2. Find the total wall area by multiplying the wall length by the height

   $50\times 9$$=450\text{\hspace{0.17em}ft²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 4\times 8+3\times 3\times 4$$=68\text{\hspace{0.17em}ft²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $450-68$$=382\text{\hspace{0.17em}ft²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 10% for waste

   $\frac{382\times 2}{295}\times 1+0.1$$=2.848814\text{\hspace{0.17em}gal}$

6. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{2.848814}{1}$$=2.8488$$=\text{rounded up:}3$

7. Find the cost: the number of cans times the price of one can

   $3\times \mathrm{\$36.00}$$=\mathrm{\$108.00}$

7. Cans to buy: 8 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(7+5\right)$$=24\text{\hspace{0.17em}m}$

2. Find the total wall area by multiplying the wall length by the height

   $24\times 2.2$$=52.8\text{\hspace{0.17em}m²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 1\times 1.8+3\times 1\times 1$$=4.8\text{\hspace{0.17em}m²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $52.8-4.8$$=48\text{\hspace{0.17em}m²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 9% for waste

   $\frac{48\times 2}{8}\times 1+0.09$$=13.08\text{\hspace{0.17em}L}$

6. Divide by the 1.8 L can size and round up, because stores sell whole cans

   $\frac{13.08}{1.8}$$=7.2667$$=\text{rounded up:}8$

7. Find the cost: the number of cans times the price of one can

   $8\times \mathrm{\$34.00}$$=\mathrm{\$272.00}$

8. Cans to buy: 1 can

1. Find the total wall area by multiplying the wall length by the height

   $24\times 9$$=216\text{\hspace{0.17em}ft²}$

2. Add up the area of the doors and windows, since you won't paint over them

   $1\times 4\times 6+3\times 4\times 3$$=60\text{\hspace{0.17em}ft²}$

3. Take the doors and windows away to get the wall area you will actually paint

   $216-60$$=156\text{\hspace{0.17em}ft²}$

4. Find the paint: the area times the coats, divided by how far the paint spreads, plus 10% for waste

   $\frac{156\times 2}{375}\times 1+0.1$$=0.9152\text{\hspace{0.17em}gal}$

5. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{0.9152}{1}$$=0.9152$$=\text{rounded up:}1$

6. Find the cost: the number of cans times the price of one can

   $1\times \mathrm{\$48.00}$$=\mathrm{\$48.00}$

9. Cans to buy: 7 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(5+4\right)$$=18\text{\hspace{0.17em}m}$

2. Find the total wall area by multiplying the wall length by the height

   $18\times 2.6$$=46.8\text{\hspace{0.17em}m²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 0.8\times 2.4+2\times 0.9\times 1$$=3.72\text{\hspace{0.17em}m²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $46.8-3.72$$=43.08\text{\hspace{0.17em}m²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 12% for waste

   $\frac{43.08\times 3}{10}\times 1+0.12$$=14.47488\text{\hspace{0.17em}L}$

6. Divide by the 2.4 L can size and round up, because stores sell whole cans

   $\frac{14.47488}{2.4}$$=6.0312$$=\text{rounded up:}7$

7. Find the cost: the number of cans times the price of one can

   $7\times \mathrm{\$58.00}$$=\mathrm{\$406.00}$

10. Cans to buy: 3 cans

1. Find the total length of the walls: twice the length plus twice the width, because a room has two of each

   $2\times \left(15+16\right)$$=62\text{\hspace{0.17em}ft}$

2. Find the total wall area by multiplying the wall length by the height

   $62\times 7$$=434\text{\hspace{0.17em}ft²}$

3. Add up the area of the doors and windows, since you won't paint over them

   $1\times 2\times 10+3\times 3\times 4$$=56\text{\hspace{0.17em}ft²}$

4. Take the doors and windows away to get the wall area you will actually paint

   $434-56$$=378\text{\hspace{0.17em}ft²}$

5. Find the paint: the area times the coats, divided by how far the paint spreads, plus 9% for waste

   $\frac{378\times 2}{300}\times 1+0.09$$=2.7468\text{\hspace{0.17em}gal}$

6. Divide by the 1 gal can size and round up, because stores sell whole cans

   $\frac{2.7468}{1}$$=2.7468$$=\text{rounded up:}3$

7. Find the cost: the number of cans times the price of one can

   $3\times \mathrm{\$28.00}$$=\mathrm{\$84.00}$