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How many square centimeters are in 2.5 ft^2 ?

  1. Aug 15, 2015 #1
    1. The problem statement, all variables and given/known data
    How many square centimeters are in 2.5 ft^2 ?

    Known:
    1 inch≡2.54 cm
    1 foot≡ 12 inches

    2. Relevant equations


    3. The attempt at a solution
    2.5 ft^2/1 x 12in/1ft x 2.54cm/1in = 76.2 cm

    I tried converting 2.5 ft^2 to centimeters by using dimensional analysis. However, I realized that it doesn't take into account that it is 2.5ft^2 not 2.5 ft. I don't know how to convert it to centimeters squared, rather than just cm.
     
  2. jcsd
  3. Aug 15, 2015 #2

    berkeman

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    Staff: Mentor

    You are trying to use the correct technique (multiplying by different versions of "1" and cancelling units).

    But use the squares correctly too... 1 = (12 in/1ft)^2 = 144in^2/1ft^2 and so on...

    Does that help?
     
  4. Aug 15, 2015 #3
    Yes, thank you. This makes sense. So the correct answer is 2322.576 cm^2
     
  5. Aug 15, 2015 #4

    berkeman

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    Staff: Mentor

    Yes, that looks correct. :smile:
     
  6. Aug 15, 2015 #5
    Thank you!
     
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