Posted by **Carla** on Friday, November 25, 2011 at 6:58pm.

The strength S of a rectangular beam varies jointly as its width w and the square of its thickness t. If a wood beam 3 inches wide and 5 inches thick supports 300 pounds, how much can a similar beam 3 inches wide and 8 inches thick support?

S=? pounds

- Math -
**Steve**, Friday, November 25, 2011 at 11:11pm
S(w,t) = kwt^2

Find k:

300 = k*3*25

k=4

So, S(w,t)=4wt^2

S(3,8) = 4*3*64 = 768

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