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4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares from the corners and folding up the sides as shown. The volume of the box is given by: V = 4x3 - 16x2 + 16x. It is determined that the volume will be at a maximum if the cut-out squares have sides of ft. Is this correct? Explain why or why not. Show ALL your work to support your answer. 4-2X 4-ax

4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares from the corners and folding up the sides as shown. The volume of the box is given by: V = 4x3 - 16x2 + 16x. It is determined that the volume will be at a maximum if the cut-out squares have sides of ft. Is this correct? Explain why or why not. Show ALL your work to support your answer. 4-2X 4-ax

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares from the corners and folding up the sides as shown. The volume of the box is given by: V It is determined that the volume will be at a maximum if the cut-out squares have sides of ft. Is this 4x3 – 16x2 + 16x. correct? Explain why or why not. Show ALL your work to support your answer.
Transcribed Image Text:4. A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares from the corners and folding up the sides as shown. The volume of the box is given by: V It is determined that the volume will be at a maximum if the cut-out squares have sides of ft. Is this 4x3 – 16x2 + 16x. correct? Explain why or why not. Show ALL your work to support your answer.
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