A piece of cardboard measures 45 cm by 30 cm. Two equal squares are removed from the corners of a 30-cm. side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with lid. NOT TO SCALE 30 cm Base ++ |+x+| 1+x- -45 cm Lid JK- Jek a) Write a formula V(x) for the volume of the box. b) Find the domain of V for the problem situation and graph V over this domain. c) Use the graph in part b) to find the maximum volume and the value of x that gives it. d) Using your graph in part b), find a value of x that yields a quarter of the maximum volume.

A piece of cardboard measures 45 cm by 30 cm. Two equal squares are removed from the corners of a 30-cm. side as shown in the figure. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with lid. NOT TO SCALE 30 cm Base ++ |+x+| 1+x- -45 cm Lid JK- Jek a) Write a formula V(x) for the volume of the box. b) Find the domain of V for the problem situation and graph V over this domain. c) Use the graph in part b) to find the maximum volume and the value of x that gives it. d) Using your graph in part b), find a value of x that yields a quarter of the maximum volume.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section: Chapter Questions

Problem 40CLR

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