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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?

 Jun 26, 2024
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   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?     

 

   1 ft = 0.3048 m     ==>>     1 m = (1 / 0.3048) ft = 3.2808 ft     

 

   Height   =  (12 m)   • (3.2808 ft/m)  =    39.37 ft     

   Length  =  (120 m) • (3.2808 ft/m)  =  393.70 ft     ==>>     Area  =  (39.37 ft) • (393.70 ft)     

                                                                                                         =  15,499.97 ft2     

 

   Paint req'd     ==>>     (15,499.97 ft2) / (150 ft2/gallon)  =  103.33 gal     

   You can't buy just part of a gallon, so you will have to buy 104 gallons     

   .     

 Oct 17, 2026

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