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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?

 Jul 9, 2024
 #1
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First, let's convert every single measurement into feet from meters so we don't have to worry about it later.

We have \(\frac{12m}{ 0.3048 m/ft }=39.3701 ft \) for the height

And we have \(\frac{120m}{ 0.3048 m/ft }=393.7007 ft \) for the length. 

 

Now, we can find the total area of the wall. We do length times height, so we have

\( (39.3701 ft)(393.7007 ft) = 15,500.0359 ft^2 \)

 

Now, we do some ugly math. We must divide by the gallons. 

Since each gallon of paint covers 150, we must do

\(\frac{ 15,500.0359 sq ft}{ 150 sq ft/gallon }= 103.3335 gallons \)

 

Since you can't actually by a fraction of a gallon, we must round up. 

So, we simply have

104 gallons as our answer. 

 

So 104 is our answer. 

 

Thanks! :)

 Jul 9, 2024

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