# How many square centimeters are in 2.5 ft^2 ?

1. Aug 15, 2015

### Beanie

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. Aug 15, 2015

### 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?

3. Aug 15, 2015

### Beanie

Yes, thank you. This makes sense. So the correct answer is 2322.576 cm^2

4. Aug 15, 2015

### Staff: Mentor

Yes, that looks correct.

5. Aug 15, 2015

Thank you!