(c) Write an expression for the volume V in terms of both x and y. V = (d) Use the given information to write an equation that relates the variables x and y. (e) Use part (d) to write the volume as a function of only x. V(x) = ||

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...
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Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such
a box can have.
Transcribed Image Text:Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have.
(c) Write an expression for the volume V in terms of both x and y.
V =
(d) Use the given information to write an equation that relates the variables x and y.
(e) Use part (d) to write the
as a function
only x.
lun
V(x) = ||
(f) Finish solving the problem by finding the largest volume (in ft³) that such a box can have.
V =
ft3
Transcribed Image Text:(c) Write an expression for the volume V in terms of both x and y. V = (d) Use the given information to write an equation that relates the variables x and y. (e) Use part (d) to write the as a function only x. lun V(x) = || (f) Finish solving the problem by finding the largest volume (in ft³) that such a box can have. V = ft3
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