Solve the Problem $\mathrm { S }$ Of a Rectangular Wooden Beam Is Proportional to Its Width

question 167

Multiple Choice

Solve the problem.
-The strength $\mathrm { S }$ of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a 10 -in.-diameter cylindrical log. (Round answers to the nearest tenth.)

• A) w = 5.8 in.; d = 8.2 in.
• B) w = 6.8 in.; d = 7.2 in.
• C) w = 6.8 in.; d = 9.2 in.
• D) w = 4.8 in.; d = 9.2 in.

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