If latex paint application is 6 sqm of surface area per liter, how many pails of paint will be used for the ceiling (301 sqm) using 2 coats?
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Understand the Problem
The question asks how many pails of paint will be used for a ceiling area of 301 square meters, given that the latex paint application covers 6 square meters per liter and there are 2 coats needed. This requires calculating the total area to be painted and determining the amount of paint required in pails.
Answer
11 pails
Answer for screen readers
The final number of pails needed is 11.
Steps to Solve
- Calculate Total Area to Paint The ceiling area is 301 square meters. Since 2 coats of paint are needed, the total area to paint is:
$$ \text{Total Area} = 2 \times 301 = 602 \text{ sqm} $$
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Determine Paint Coverage per Liter The coverage provided by the paint is 6 square meters per liter.
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Calculate Total Liters Needed To find out how many liters of paint are required for the total area, we divide the total area by the coverage per liter:
$$ \text{Total Liters} = \frac{\text{Total Area}}{\text{Coverage per Liter}} = \frac{602}{6} $$
Calculating this gives:
$$ \text{Total Liters} = 100.33 \text{ liters} $$
- Determine Number of Pails Required Assuming each pail contains a standard volume (let's say 10 liters for this example), we find out how many pails are needed:
$$ \text{Number of Pails} = \frac{\text{Total Liters}}{\text{Liters per Pail}} = \frac{100.33}{10} $$
Calculating this gives:
$$ \text{Number of Pails} = 10.033 \text{ pails} $$
Since you can't purchase a fraction of a pail, round up to the next whole number:
$$ \text{Number of Pails} = 11 \text{ pails} $$
The final number of pails needed is 11.
More Information
When painting, it's often necessary to buy slightly more paint than calculated due to spillage, absorption, and varying application techniques. In this case, rounding up ensures you have enough paint to complete the job.
Tips
- Not rounding up: Always round up because paint is sold by whole pails, and you cannot purchase a fraction.
- Miscalculating total area: Make sure to multiply the area by the number of coats required correctly.
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