To find: The function that model surface area of rectangular box in terms of length of one side of its square base whose volume is .
The function that model surface area in terms of the length is .
Surface area of rectangular box is,
Volume of a rectangular box is,
Length of the side of its base is and base is a square.
Area of square is,
Calculate in terms of .
Substitute 60 for in above equation and solve for .
Area of four sides is,
Area of top and bottom faces of rectangular box is,
Summarize all the information in a table as shown below.
|In Words||In Algebra|
|Area of square base|
|Area of four sides|
|Area of top and bottom faces|
Use the information in the table and model the function.
Thus, the function that model surface area in terms of the length is .
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