A box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting x-in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. a)

Elementary Geometry For College Students, 7e
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Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
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Just a or b is fine
a) A box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting
x-in. squares out of each corner and folding up the sides. Find the value of x that
maximizes the volume of the box.
b) A page of 96 square inches is to have margins of 1 inch on either side and 1.5 inches at
the top and bottom. Find the dimensions of the page that maximize the print area.
Transcribed Image Text:a) A box with no top is to be built by taking a 12"-by-16" sheet of cardboard and cutting x-in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. b) A page of 96 square inches is to have margins of 1 inch on either side and 1.5 inches at the top and bottom. Find the dimensions of the page that maximize the print area.
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