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Answer :
Answer:
135 feet because 20 by 40, we get the dimensions on the required vubiv inch to the nearest gallon
Step-by-step explanation:
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Final answer:
The given room with a ceiling of 20 feet by 30 feet and walls of two pairs of 10 feet by 20 feet and 10 feet by 30 feet would require approximately 24 gallons of paint to give two coats of a density of 0.001 inches.
Explanation:
The subject of this question pertains to the discipline of Mathematics, particularly focusing on the concepts of volume and surface area. The room to be painted has a ceiling that is 20 feet by 30 feet, and four walls, the dimensions of these walls being two pairs of 10 feet by 20 feet, and 10 feet by 30 feet respectively.
To calculate the total area to be painted, we sum up the areas of the ceiling and the walls. This would be (20*30) + 2*(10*20) + 2*(10*30) = 600 + 400 + 600 = 1600 square feet.
When applying two coats of paint 0.001 inches thick each, the total volume of paint needed can be found by multiplying the total area in square feet by two (for the two coats) and then by the depth of the paint in inches. This yields a total of 1600*2*0.001 cubic feet of paint.
However, since the quantity of a gallon of paint is typically given in cubic inches, we'll need to convert our volume from cubic feet to cubic inches. There are 12*12*12 = 1728 cubic inches in a cubic foot, so we have 1600*2*0.001*1728 = 5,529.6 cubic inches of paint needed.
Since a gallon of paint contains 231 cubic inches, the total number of gallons needed can be found by dividing the entire volume demand by the volume per gallon, giving us 5529.6/231 = 23.94 gallons.
So round up to the nearest gallon, we need 24 gallons of paint for two coats on these walls and ceiling.
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