I have to paint one side of a wall. The wall is 12 meters tall and 120 meters long. Each gallon of paint covers 150 square feet. 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?

Guest Jun 22, 2023

#1**0 **

*I have to paint one side of a wall. The wall is 12 meters tall and 120 meters long. Each gallon of paint covers 150 square feet. 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?*

We're going to have to convert metric units to imperial units,

so I think it's better to do it from the start. Even though we'll

have fractions to contend with, a calculator makes that easy.

12 m

1 foot is 0**.**3048 meter, so the height is ––––––––– = 39**.**3701 ft

0**.**3048 m/ft

120 m

1 foot is 0**.**3048 meter, so the length is ––––––––– = 393**.**7007 ft

0**.**3048 m/ft

Area is height times length (39**.**3701 ft)(393**.**7007 ft) = 15,500**.**0359 sq ft

1 gallon will cover 150 sq ft

so divide that into the area 15,500**.**0359 sq ft

––––––––––––––– = 103**.**3335 gallons

150 sq ft/gallon

You can't buy just a third of a gallon of paint,

so we have to round that up to whole gallons **104 gallons**

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Bosco Jun 30, 2023