How Many Gallons Of Paint Are Required To Paint The Walls Of A Building 33 Ft. Long, 31 Ft. Wide, And 47 Ft. High, If 1 Gallon Of Paint Will Cover 500

How many gallons of paint are required to paint the walls of a building 33 ft. long, 31 ft. wide, and 47 ft. high, if 1 gallon of paint will cover 500 ft² of the wall?

 

Answer:

12.032 gallons of paint are required to paint the walls of the building.

Step-by-step explanation:

Step 1: Write the given

  1. Length of the room= 33 ft
  2. Width of the room= 31 ft
  3. Height of the room= 47 ft

Step 2: Find the surface area of the wall

  1. The building is considered as rectangular prism, which has six faces.
  2. The area of the six faces are as follows: two 31 ft by 33 ft "rooftop" and base, and two 33 ft by 47 ft and two 31 ft by 47 ft walls.
  3. surface area of wall= (2)(33 ft)(47 ft) +(2)(31 ft)(47 ft)
  4. surface area of wall=6016 ft^{2}

Step 3: Find the number of gallons necessary to paint the walls.

  1. Use the relationship: 1 gallon of paint covers 500 square ft of wall
  2. Gallons of paint=surface area of wall*(\frac{gallon of paint}{surface area of wall})
  3. Gallons of paint=(6016ft^{2} )*(\frac{1 gallon}{500ft^{2} })
  4. Gallons of paint=12.032 gallons

Therefore, 12.032 gallons of paint will be needed to paint the walls of the building.


For more practice problems, you may also refer to:

brainly.ph/question/948742

brainly.ph/question/8898

brainly.ph/question/1652527


Comments

Post a Comment

Popular posts from this blog

Charlie Reads Quickly. He Reads 1\\Dfrac371 7 3 Pages Every \\Dfrac23 3 2 Minutes. Charlie Reads At A Constant Rate. How Many Pages Does He Read Per

Image
Charlie reads quickly. He reads 1\dfrac371 7 3 pages every \dfrac23 3 2 minutes. Charlie reads at a constant rate. How many pages does he read per minute?   Answer:  pages per minute Step-by-step explanation: Transform mixed fractions to improper fractions. Divide 1,120/3 pages by 49/2 minutes to determine the number of pages that Charlie reads per minute.
Read more

Do You Agree That Happiness Is The Pursuit Of Pleasure And The Avoidance Of Pain, And That All Actions Are Directed Toward Pleasure?

do you agree that happiness is the pursuit of pleasure and the avoidance of pain, and that all actions are directed toward pleasure?   PERSONAL OPINION ABOUT HAPPINESS I personally agree that happiness is the pursuit of pleasure and the avoidance of pain and that all actions are directed toward pleasure. I believe so because we are people and we all want to be happy by pursuing and satisfying our pleasures . No person ever wants to feel pained, everyone avoids pain. Moreover, our actions are driven and are directed to pleasure. We make sure that our actions lead us to our pleasure that certainly makes us happy . However, I would like to emphasize that not all good are to be pursued and not all bad are to be avoided. Read more here: Opinion about happiness brainly.ph/question/2556449 Opposite of happy brainly.ph/question/2428881 Giving up happiness for other people brainly.ph/question/971810 #LetsStudy
Read more