Saturday, December 26, 2009

A gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should............

A gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should be bought to paint two coats on each wall of a rectangular room whose dimensions are 14 feet by 16 feet (assume 8-foot ceiilings)A gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should............
C'mon, you can do this!





One wall is 14*8. Same for the opposite wall.


The other two walls are each 16*8.


So we have total area of 2*14*8 + 2*16*8 = 224+256 = 480 square feet.


We need two coats so 2*480 = 960.





So we need 960 / 500 = 1.92 gallonsA gallon of latex paint can cover 500 square feet. Find how many gallon containers of paint should............
Area of walls = 2.(14 x 8) + 2.(16 x 8) ft虏


Area of walls = 480 ft虏


For 2 coats are covering 960 ft虏


500 ft虏%26lt;----%26gt; 1 gallon


960 ft虏%26lt;-----%26gt;960 / 500 gallons


= 1.92 gallons.


So require two tins of 1 gallon for walls.
The perimeter of the room is 14 + 16 + 14 + 16 = 60 running feet. The area to be coated is 480 square feet, but you're doing it twice.





To coat 960 square feet, you'll have to buy 2 gallons, which would give you 1000 square feet.
I can't believe that ANYBODY is so poor at math that they can't do THIS problem... I was doing problems like this in the THIRD GRADE. I'd be ashamed to admit I couldn't do this problem.





multiply 14 times 2 and 16 times two then add them together and multiply by 8 then divide the total by 500 and the answer is gallons





Geesch...
480 squares in the room, 960 squares for two coats.





480 squares to the 500 means 500 first tin, 460 the last.





That's 2 tins no matter how you cut it.





You'll need 2 tins anyway - the remaining 4% is the Dulux recommendation for wastage.





Amercian maths must make it hard for you guys, we do it in metres and have smaller numbers to worry about.





The sums above do not account for watering down the sealer.





Technically it should be one tin of sealer and one tin of paint (proper).
1) First we need to find the area of the 4 walls that we will paint. This is actually the surface area of a rectangular cube/prism MINUS the top and bottom area.





Area = 2(16 x 8) + 2( 14 x 8)


A = 2(128) + 2(112)


A = 256 + 224


A = 480 sq. feet





Since you need to paint 2 coats, the total area is 960 sq. ft.





You will need


960/500 = 1.92 gallons or


2 gallon containers of paint to paint the 4 walls.
need window and door dimensions otherwise you have to paint yourself into a corner
first find wall surface area of room.


you have 2 walls at 8feet x 14feet.


and 2 walls at 8feet x 16feet.


hence surface area


= 2 x(112) + 2x(128)


=224 + 256


=480feet squared.





2 coats are needed


hence need to cover 960feet squared.





if one bucket covers 500feet, then number of buckets needed is 960/500





hence you need 2 buckets
For one wall the area is


14*8= 112 sq. ft. (As ceiling is 8 feet high)





For the other wall the area is


16*8= 128 sq. ft. ( again as ceiling is 8 feet high)





So the total area is


112 + 128 = 240 sq. ft.





But as the walls are to be coated twice, the total area becomes


240*2 = 480 sq.ft.





So on the basis of above calculation we can say that ONE GALLON of latex paint is enough to cover the walls. (excluding the ceiling)
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