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)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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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
Transcribed Image Text: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
Transcribed Image Text: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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