The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. if a beam one third 1/3 foot wide, one half 1/2 foot high, and 15 feet long can support 30 tons, find how much a similar beam can support if the beam is one half 1/2 foot wide, one third 1/3 foot high, and 15 feet long?

13.33 tons

Explanation:

Given

Weight of a material varies as

 (width)

 (height)

 (length)

Dimension of first beam

foot

foot

foot

Weight supported

Second beam

let weight of second beam be

taking both beams at the same time

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explanation: