How much gallons of paint do I need?

Question

Math question! Dan wants to paint the walls and ceiling in a room that is 14 feet x 16 ft. with an 8 ft. high ceiling. He will not paint the double doors, which has a measurement of 6ft x 7ft. One gallon of paint will cover 350 square feet. How many gallon of paint will Dan need to buy?

Answer 1

Two walls at 14 x 8 have area 224 square feet.
Two walls at 16 x 8 have area 256 square feet
One ceiling at 14 x 16 has area 224 square feet

Total = 704 square feet
Less the doors at 6 x 7 = 42 square feet

Total to paint = 662 square feet

Divided by 350 square feet / gallon = 1.89 gallons, so Dan will have to buy 2 gallons of paint.

Answer 2

OK

First calculate the square footage that will be painted.

You have two sets of walls - two at 14x8 and two at 16x8. You also have a ceiling to paint (14x16). You will not paint the doors (6x7). SO paintable area =

(2)(14)(8) + 2(16)(8)+ (14)(16) - (6)(7)
(224 + 256 + 224 ) - 42 =
662

Now, each gallon will paint 350 square feet

662/350 = 1.89 gallons.

Buying 2 gallons should be enough paint. However, this does not take into account spills, etc. If Dan is a good painter and can get the 350 max output - 2 will be fine. If he is not too accurate and has some waste, the two will be a little tight.

Hope that helps.

Answer 3

He needs to buy 2 gallons of paint:

The total area to be painted will all four walls and the ceiling minus the area of the two doors:

A = 14x8x2 + 16x8x2 + 16x14 - 6x7x2 = 620 Square feet
# of gallons = 620/350 = 1.77 Which is almost 2 gallons.

Answer 4

14' * 8' = 112 sq ft. * 2 walls = 224 sq ft
16' * 8' = 128 sq ft. * 2 walls = 256 sq ft
14' * 16' = 224 sq ft (ceiling)
6' * 7' = 42 sq ft (doors)
Total sq ft = 224 + 256 + 224 - 42 = 662 sq ft

One gallon covers 350 sq ft: 662/350 = 1.89 gallons
Assuming Dan can only buy gallons of paint, he would need 2 gallons to paint this room.

Answer 5

wall 1 & 3- 16 x 8
wall 2 & 4- 14 x 8
door 6 x 7

2(16*8)+2(14*8)-(6*7)=256+224-42=438 sq ft
he would need 2 gallons to be able to do one coat. but that all depends on if he wants a nice finish on his walls or not!

Answer 6

14*16+2*16*8+2*14*8-7*6 then divide by 350
224+256+224-42=662
662/350=1.89
2 gallons

Answer 7

First, compute the area of the room (there is no mention of windows...)

There are two walls of dimension 14x8 and two walls of dimension 16x8

the ceiling has an area of 14x16, and you are not painting an area of 7x6

so the total area to be painted is:

2(14x8+16x8)+14x16-6x7=662 sq ft, so he needs two gallons