Question

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The strength of a rectangular wood beam varies directly with the square of the depth of its cross section. If a beam with a depth of 3.5 inches can support 1000 pounds, how much weight can the same type of beam hold it its depth is 12 inches?

Answer 1

According to the question,

Here k is a constant.

Now to find the value of k, we are given that at depth=3.5, strength=1000. So substitute these values to get the value of "k".

Now, to find strength if depth=12 inches, substitute the new values in the above function.

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