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Is this how you would find the atomic radius?????

The unit cell of crystalline iron is body-centered cubic, and the atomic radius of iron is 124.1 pm. Determine the length of a unit cell of iron.

would you do this, because I keep getting the wrong answer

c^2=a^2+b^2

(4r)^2=l^2+l^2

16r^2=2l^2

l^2=8r^2

l=r sqrt8

124.1 x sqrt 8= 351.0 pm

The answer should be 286.6 pm

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