A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of x. V = Preview b. If the cutout length increases from 0.6 to 2.5 inches, what is the change in the box's volume? (You may use your graphing calculator.) cubic inches Preview c. If the cutout length increases from 2.5 to 3.4 inches, what is the change in the box's volume? cubic inches Preview

A box is formed by cutting squares from the four corners of a 8"-wide by 10"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of x. V = Preview b. If the cutout length increases from 0.6 to 2.5 inches, what is the change in the box's volume? (You may use your graphing calculator.) cubic inches Preview c. If the cutout length increases from 2.5 to 3.4 inches, what is the change in the box's volume? cubic inches Preview

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 50A

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