How much paint is required to cover 70 m²?
Understand the Problem
The question is asking how much paint is needed to cover an area of 70 m², given that 4 liters of paint covers 40 m². We will need to calculate the coverage rate of the paint per square meter and then determine the total amount needed for 70 m².
Answer
7 L
Answer for screen readers
The total amount of paint required to cover 70 m² is 7 L.
Steps to Solve
- Calculate Coverage Rate To find out how much area one liter of paint covers, divide the area covered by the amount of paint.
Given that 4 liters cover 40 m², the coverage rate is: $$ \text{Coverage Rate} = \frac{40 \text{ m}^2}{4 \text{ L}} = 10 \text{ m}^2/\text{L} $$
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Determine Total Area to Cover The area that needs to be covered is given as 70 m².
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Calculate Total Paint Needed To find out how many liters of paint are needed for 70 m², divide the total area by the coverage rate:
$$ \text{Total Paint Needed} = \frac{70 \text{ m}^2}{10 \text{ m}^2/\text{L}} = 7 \text{ L} $$
The total amount of paint required to cover 70 m² is 7 L.
More Information
This problem illustrates the concept of calculating paint coverage, where you determine how much area can be painted per liter and then scale that to the desired area. Knowing the coverage rate can help with efficiently estimating paint needs in real-world projects.
Tips
- Miscalculating the coverage rate by mixing up the area and liters.
- Forgetting to divide the area to be covered by the coverage rate.
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