Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall? Plz answer immediately, the answer is not 9 gallons.

Respuesta :

Answer:

51 gal

Step-by-step explanation:

Find the area of the wall you need to paint:

12 m * 80 m = 960 m^2

Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):

1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2

960 m^2 * (1 ft^2 / 0.3048^2 m^2)

Square meters cancel out, we are left with square feet:

960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2

Now, find how many gallons of paint by dividing by 200 square feet:

10333.354 ft^2 / 200 =~ 51.66 gal

Round up to the nearest whole number:

51.66 =~ 51 gal

fichoh

The smallest whole number of gallons require to paint the wall is 52 gallons.

1 gallon of paint = 200 ft²

I foot = 0.3048 metres

Dimension of wall :

12 metre by 80 metre

Converting the dimension to feet :

12 meter / 0.3084 = 39.370078 feets

80 meter / 0.3084 = 262.46719 feets

Hence, the area of the wall in feet²:

Area = Length × width

Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²

Let number of falloms required = x

Since,

1 gallon = 200 ft²

x gallons = 10093.516 ft²

Cross multiply :

200x = 10093.516

x = 10333.35374274082 / 200

x = 51.6667687137041 gallons

x = 52 gallons

Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint

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