Problem 5 A closed box with a square base has a volume of 12 cubic feet. 2x 2x surface area of the box where x is the on
Posted: Tue May 10, 2022 10:40 am
Problem 5 A closed box with a square base has a volume of 12 cubic feet. 2x 2x surface area of the box where x is the only input a) Find a function that mo variable. Answer: Answer:
b) You would like to find the box dimensions that minimize the amount of material used with the given volume (12 cubic feet). Below a student has found an answer and provided their solving strategy Student's work: This student decided to calculate x = -When the student checks the solution graphically using the function created in part a, the answer to the x-coordinate did not match Explain why using x =- is not an appropriate method to find the minimum surface area for this situation Explanation: 20 c) The surface area function from part a has the graph shown below. Interpret the point (1.145, 31.449) in the context of the problem Interpretation: 50 (1.145.31419)
b) You would like to find the box dimensions that minimize the amount of material used with the given volume (12 cubic feet). Below a student has found an answer and provided their solving strategy Student's work: This student decided to calculate x = -When the student checks the solution graphically using the function created in part a, the answer to the x-coordinate did not match Explain why using x =- is not an appropriate method to find the minimum surface area for this situation Explanation: 20 c) The surface area function from part a has the graph shown below. Interpret the point (1.145, 31.449) in the context of the problem Interpretation: 50 (1.145.31419)