To find: The function that models volume of a rectangular box with square base in terms of its width whose height is half of width of its base.
The function is modeled as .
Volume of rectangular box with square base is,
The width of given box is .
Calculate area of square base.
Model the function in single variable .
The height of given rectangular box is half of the width of its square base, express it algebraically.
Summarize all the information in a table as shown below,
|In Words||In Algebra|
|Area of Square base|
|Height of the box|
Model the function from the information given in the table.
Thus, the function is modeled as .
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