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I have to paint one side of a wall.  The wall is $15$ meters tall and $60$ meters long.  Each gallon of paint covers $400$ 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?

 Dec 15, 2024
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   I have to paint one side of a wall.  The wall is $15$ meters tall and $60$ meters long.     

   Each gallon of paint covers $400$ 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     

 

   H wall = (15)(3.2808) ft =   49.212 ft     

   L wall  = (60)(3.2808) ft = 196.848 ft     ==>>     Area wall = (49.212 ft)(196.848 ft)     

                                                                                           = 9687.284 sqft     

 

   Paint req'd     ==>>     (9687.284 sqft) / (400 sqft/gallon)  =  24.218 gal     

   You can't buy just part of gallon, so you need to buy 25 gallons.     

  .      

 Sep 1, 2026

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