One gallon of paint (3.79 Liters) covers an area of 25.8 m2. What is the thickness (in mm) of the fresh paint on the wall.
3.79 L= 3.79•10^-3 m³
h=V/A=3.79•10^-3/25.8 = 1.47•10^-4 m =0.147 mm
To find the thickness of the fresh paint on the wall, we need to calculate the volume of the paint that covers the given area, and then divide it by the surface area to determine the thickness.
First, let's convert the volume of paint from gallons to liters. Since 1 gallon is equal to 3.79 liters, we can say that 1 liter of paint covers an area of (25.8 / 3.79) m².
Now, to find the thickness, we need to consider that the volume of paint is the product of the area covered and the thickness. Rearranging the formula, we have the thickness = volume / area.
Let's calculate the thickness:
Volume = 1 liter
Area = 25.8 m²
Thickness = volume / area = (1 liter) / (25.8 m²)
Since 1 liter = 1000 cm³ and 1 m = 100 cm, we can convert the units:
Thickness = (1000 cm³) / (25.8 m²)
= (1000 cm³) / (25.8 m²) * (100 cm / 1 m) * (100 cm / 1 m)
= (1000 cm³ * 100 cm * 100 cm) / (25.8 m²)
= (100000000 cm³ cm²) / (25.8 m²)
Lastly, we can simplify by converting cm to mm:
Thickness = (100000000 cm³ cm²) / (25.8 m²) * (10 mm / 1 cm) * (10 mm / 1 cm)
= (100000000 * 10 * 10 mm³ mm²) / (25.8 m²)
= 389105.058 mm
Therefore, the thickness of the fresh paint on the wall is approximately 389105.058 mm.
To find the thickness of the fresh paint on the wall, we need to know the volume of paint that covers the given area.
First, let's convert the area from square meters to square millimeters because we need the answer in millimeters.
1 square meter = 1,000,000 square millimeters
So, the area of 25.8 square meters is equal to 25.8 x 1,000,000 = 25,800,000 square millimeters.
Now, let's calculate the volume of the paint by multiplying the area by the thickness.
Volume = Area x Thickness
Since we're looking for the thickness, we can rearrange the formula:
Thickness = Volume / Area
The volume is equal to the volume of one gallon of paint, which is 3.79 liters.
1 liter = 1,000,000 cubic millimeters
So, the volume of 3.79 liters of paint is 3.79 x 1,000,000 = 3,790,000 cubic millimeters.
Now, we can substitute the values into the formula:
Thickness = 3,790,000 / 25,800,000
Dividing these two values, we find:
Thickness ≈ 0.1465 mm
Therefore, the thickness of the fresh paint on the wall is approximately 0.1465 millimeters.