A Rectangular Beam Will Be Cut from a Cylindrical Log $r=40$

question 11

Multiple Choice

A rectangular beam will be cut from a cylindrical log of radius $r=40$ inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log.

• A) \(\sqrt{3}\) in, \(80\) in
• B) \(\frac{80}{\sqrt{3}}\) in, \(80 \sqrt{\frac{2}{3}}\) in
• C) \(\frac{80}{\sqrt{3}}\) in, \(\frac{80}{\sqrt{3}}\) in
• D) \(80 \sqrt{\frac{2}{3}}\) in, \(80 \sqrt{\frac{2}{3}}\) in
• E) \(80\) in, \(\sqrt{\frac{2}{3}}\) in

Grasp the process of synthesizing information from various sources.

Comprehend the principles of prewriting, thesis development, and the importance of revision in writing.

Recognize the consequences of plagiarism and the importance of original work.

Understand the appropriate use of communication mediums and the role of presentation in sharing information.

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Definitions:

Windward Side

The side of a mountain or island that faces the direction from which the wind is coming, often receiving more rainfall.

Temperate Regions

Areas of the Earth characterized by moderate temperatures, neither extremely hot nor cold.

Abiotic Factors

Elements of the nonliving, physical environment that affect a particular organism. Compare with biotic factors.

Temperature

A measure of the average kinetic energy of the particles in a system, indicating how hot or cold the system is.