rectangular box to be formed the cut out X inches is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 39E
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A flat box originally at length 32 inches by a width 18 inches has a square of X inches cut out of
each corner which is then folded
into a rectangular box with height X inches.(see image below).
18 in
32 in
(A) The length of the rectangular box is written as L=
(B) The width of the rectangulan box Is written as W-
(C) For the rectangular box to be formed the cut out X inches is restricted between
<Xinches <
(D) The Volume of the rectangular box in factored form as a function of X1s V(x) =
(E) Use your graphing calculator to identify, to the tenti decimal place, the cut out X, that yields
the maximum volume of the rectangular box,
inches
Transcribed Image Text:A flat box originally at length 32 inches by a width 18 inches has a square of X inches cut out of each corner which is then folded into a rectangular box with height X inches.(see image below). 18 in 32 in (A) The length of the rectangular box is written as L= (B) The width of the rectangulan box Is written as W- (C) For the rectangular box to be formed the cut out X inches is restricted between <Xinches < (D) The Volume of the rectangular box in factored form as a function of X1s V(x) = (E) Use your graphing calculator to identify, to the tenti decimal place, the cut out X, that yields the maximum volume of the rectangular box, inches
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