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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I would like to know the answer to the following question
![An open box, illustrated in Figure (a) below, is made from an A4 sheet of card using the
folds shown in Figure (b).
M
L
FF
EE
N
BB A
C DD C
A
K
HH
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdda8917b-cf06-48d9-8194-ba87bdf60318%2F9662c16d-8657-4bf8-8acf-f410e97fdc14%2F3mnayb6_processed.png&w=3840&q=75)
Transcribed Image Text:An open box, illustrated in Figure (a) below, is made from an A4 sheet of card using the
folds shown in Figure (b).
M
L
FF
EE
N
BB A
C DD C
A
K
HH
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.
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