Solve. -A Rectangular Box with Volume 468 Cubic Feet Is Built

question 20

Multiple Choice

Solve.
-A rectangular box with volume 468 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base in feet. Express the cost of the box as a function of x and then graph this function. From the graph find the value of x, to the nearest hundredth of a foot, which will minimize the cost of the box.

• A)8.63 feet
• B)8.44 feet
• C)7.92 feet
• D)8.55 feet

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Definitions:

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment.

Principle of Falsifiability

A criterion for scientific inquiry, asserting that for a hypothesis to be considered scientific, it must be inherently disprovable.

Counterevidence

Information or data that contradicts or disproves a claim, theory, or hypothesis.

Theories

Systematic sets of ideas or principles that explain phenomena and are supported by evidence.