3Part IIIAimee is shipping a care package to her friend in college, and she hacardboard with which to create a box A rectangular cardboard sheetinches by 40 inches is to be used by cutting out square corners of me120 in.XI20 inches40 inchesa) In terms of x, what is the equation of the volume of the box?height of the box3Dx incheslength of the box=D40-2x inches 12BIUAxtArial+.3.45.the volume of a box is given by,volume(v)=length times width times height=(40-2x)(20-2x)x cubic=800x-120x^2+4x^3 cubb) What value of x will provide the maximum volume of the box?C) What is the maximum volume of the box?lıli

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Aimee is shipping a care package to her friend in college, and she ha cardboard with which to create a box. A rectangular cardboard sheet inches by 40 inches is to be used by cutting out square corners of me 120 in.

Aimee is shipping a care package to her friend in college, and she ha cardboard with which to create a box. A rectangular cardboard sheet inches by 40 inches is to be used by cutting out square corners of me 120 in.

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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Topic Video

Question

3
Part III
Aimee is shipping a care package to her friend in college, and she ha
cardboard with which to create a box A rectangular cardboard sheet
inches by 40 inches is to be used by cutting out square corners of me
120 in.
XI
20 inches
40 inches
a) In terms of x, what is the equation of the volume of the box?
height of the box3Dx inches
length of the box=D40-2x inches

12
BIUA
xt
Arial
+.
3.
4
5.
the volume of a box is given by,
volume(v)=length times width times height
=(40-2x)(20-2x)x cubic
=800x-120x^2+4x^3 cub
b) What value of x will provide the maximum volume of the box?
C) What is the maximum volume of the box?
lıli

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