20.00 cm of total space is available. How long of a piece of brass at 20 degrees Celsius can be put there and still fit at 200 degrees Celsius? Brass has a linear expansion coefficient of 19X10^-6

Question

20.00 cm of total space is available.  How long of a piece of brass at 20 degrees Celsius can be put there and still fit at 200 degrees Celsius?  Brass has a linear expansion coefficient of 19X10^-6

anonymous · Answer

$$19.79 cm ^{3}$$

anonymous · Answer

Work please?

anonymous · Answer

Brass is 57 x 10^-6 m/m K volumetric expansion
Original volume = 0.00002 m^3
Delta T = 180 degrees K

So, if brass cools you get $$19.79cm ^{3}$$

anonymous · Answer

Why are you using volume? It  is asking for length

anonymous · Answer

You need to go by volume at first because they don't give you length originally and the formula for volume is LxWxH you need L so you're going to need the volume to find the L.

anonymous · Answer

Do you understand now?

anonymous · Answer

Well, based off the equation I have, you don't need length
$$L _{1} = L _{0} \beta \Delta T $$

anonymous · Answer

I mean, you don't need volume

anonymous · Answer

Can you just show me your equation please?