Aroom measures 15.0 ft in width and 12.0 ft in length. all of the walls are 9 ft high. if 1 gallon of paint will cover 374 ft^2 per coat of paint, how many gallons of paint would you need to purchase to paint the room with two coats of paint?

The length, width and height of the wall of room is 12.0 ft, 15.0 ft and 9 ft respectively. To calculate the gallons of paint to paint the room with two coats, first calculate the surface area of room that needs to be coated.

The total surface are of room without ceiling will be:

Here, l is length, h is height and w is width of the room.

Putting the values,

Since, 1 gallon of paint is used for area , for of area, volume of paint used will be 0.00267 gallon.

Thus, volume of paint used for area will be:

The above volume is for 1 coat of paint, for 2 coats volume will be:

Therefore, paint required to paint room with two coats is 2.6 gallon.

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explanation: