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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)

2007-06-15 23:38:34 · 10 answers · asked by nikki 1 in Science & Mathematics Mathematics

10 answers

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 gallons

2007-06-15 23:43:45 · answer #1 · answered by tsr21 6 · 1 0

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.

2007-06-15 23:58:11 · answer #2 · answered by detektibgapo 5 · 1 0

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.

2007-06-15 23:51:14 · answer #3 · answered by Anonymous · 0 0

Area of walls = 2.(14 x 8) + 2.(16 x 8) ft²
Area of walls = 480 ft²
For 2 coats are covering 960 ft²
500 ft²<----> 1 gallon
960 ft²<----->960 / 500 gallons
= 1.92 gallons.
So require two tins of 1 gallon for walls.

2007-06-16 20:02:21 · answer #4 · answered by Como 7 · 0 0

Latex Square

2016-11-13 10:51:45 · answer #5 · answered by kopsho 4 · 0 0

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)

2007-06-16 00:10:50 · answer #6 · answered by Vivek A 1 · 0 2

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).

2007-06-19 22:50:40 · answer #7 · answered by Anonymous · 0 0

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

2007-06-15 23:49:27 · answer #8 · answered by kiwi25 3 · 0 0

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...

2007-06-15 23:51:10 · answer #9 · answered by Anonymous · 0 4

need window and door dimensions otherwise you have to paint yourself into a corner

2007-06-15 23:48:13 · answer #10 · answered by bazza 2 · 0 0

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