An open box, illustrated in Figure (a) below, is made from an A4 sheet of card using the folds shown in Figure (b). M FF EE BB A C DD C A K GG K. (a) (b) a) Write a formula C(h) for the capacity (volume) of the box. b) Find the domain of C for this problem c) Find the dimensions of the box which maximize its capacity. Hints: • An A4 sheet has a size 210 x 297 [mm] • Allow 12 [mm] flaps as stiffeners (shaded areas in the diagram) • Express the capacity C as a function of the height h.

An open box, illustrated in Figure (a) below, is made from an A4 sheet of card using the folds shown in Figure (b). M FF EE BB A C DD C A K GG K. (a) (b) a) Write a formula C(h) for the capacity (volume) of the box. b) Find the domain of C for this problem c) Find the dimensions of the box which maximize its capacity. Hints: • An A4 sheet has a size 210 x 297 [mm] • Allow 12 [mm] flaps as stiffeners (shaded areas in the diagram) • Express the capacity C as a function of the height h.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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