A gallon of paint can cover 800 square feet. Determine how many gallons should be purchased to paint two coats on each wall of a room which has dimensions 16 feet by 18 feet and an 8-foot ceiling. how do I solve this problem?
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When you consider a room of length 18 width 16 and height 18 feet;
Area of floor `= 18*16 = 288 ft^2`
Area of ceiling `= 18*16 = 288 ft^2`
There are two smaller walls with height 8ft and width 16ft.
Area of smaller walls `= 2*16*8 = 256 ft^2`
There are two bigger walls with height 8ft and length 18ft.
Area of bigger walls `= 2*18*8 = 288 ft^2`
Total area to be painted `= 288+288+256 = 832 ft^2`
One gallon of paint cover `800 ft^2`
Gallons needed for one coat `= 832/800`
Gallons needed for to coats `= 832/800*2 = 2.08`
So you need 2.08 gallons for painting.
Note:
If you cannot buy 0.08 gallons (if shopkeeper doesn't give you less than 1 gallon) you should by another gallon. So...
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First you need to find out the square footage of the walls:
Add the width of all four walls to find the total width
16 + 16 + 18 + 18 = 68 feet
Now multiply the total width by the height of the ceiling to find the square footage of all the walls
68 feet x 8 feet = 544 square feet
Next, multiply the total square feet by two (two coats of paint)
544 x 2 = 1088
If one gallon of paint can cover 800 square feet, then you will need two gallons to paint the whole room
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