How many square centimeters are in 2.5 ft^2 ?

[Beanie]

Homework Statement

How many square centimeters are in 2.5 ft^2 ?

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

Homework Equations

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.

 

[berkeman]

Homework Statement

How many square centimeters are in 2.5 ft^2 ?

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

Homework Equations

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.

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?

 

[Beanie]

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?

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

 

[berkeman]

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

Yes, that looks correct.

 

[Beanie]

Yes, that looks correct.

Thank you!