SOLUTION: An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box
a. of volume 100cm^3
b. with largest possible
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Question 864024: An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box
a. of volume 100cm^3
b. with largest possible volume?
Answers: a. approximately 4.427 inches by 4.427 inches
b The largest volume occurs when x= 10/3
*Please show work about this problem. I have been pondering about this question a lot. Thanks for your great help!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
x side of base
y height
120 square cm, amount of surface to make the box.
Surface area, .
Volume, .
(a):
To get v=100 cubic cms, try solving surface area equation for y and substitute into the volume equation.
S.A.,
-
This gives x at 8.6 and 3.75, and you could check each of these for what happens to y using . Graphing tool was used, and not polynomial property skills.
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