3) Take a standard 8.5 in. by 11 in. page of paper. You're going to cut square corners of equal size ("x by and fold up the flaps to make an open-top rectangular box. Find a formula for V(x) = the volume of the box in terms of x (the size of the square corner cuts). Then use your graphing calculator to determine what size cut will maximize the volume of the resulting rectangular box. (Use the "CALC: maximum" feature.) State the formula for V(x), the value of x, and the maximum volume. (Include dimensional units.) Then take a standard page of paper and actually cut the corners and fold to make the maximum volume box. Submit your (flattened) box (with your name on it) with th V(x) = X X 11 8.5 x= max. volume = (Round to nearest 0.1) (Round to nearest 0.1)
3) Take a standard 8.5 in. by 11 in. page of paper. You're going to cut square corners of equal size ("x by and fold up the flaps to make an open-top rectangular box. Find a formula for V(x) = the volume of the box in terms of x (the size of the square corner cuts). Then use your graphing calculator to determine what size cut will maximize the volume of the resulting rectangular box. (Use the "CALC: maximum" feature.) State the formula for V(x), the value of x, and the maximum volume. (Include dimensional units.) Then take a standard page of paper and actually cut the corners and fold to make the maximum volume box. Submit your (flattened) box (with your name on it) with th V(x) = X X 11 8.5 x= max. volume = (Round to nearest 0.1) (Round to nearest 0.1)
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Transcribed Image Text:3) Take a standard 8.5 in. by 11 in. page of paper. You're going to cut square corners of equal size ("x by
and fold up the flaps to make an open-top rectangular box. Find a formula for V(x) = the volume of the box
in terms of x (the size of the square corner cuts). Then use your graphing calculator to determine what size
cut will maximize the volume of the resulting rectangular box. (Use the "CALC: maximum" feature.)
State the formula for V(x), the value of x, and the maximum volume. (Include dimensional units.)
Then take a standard page of paper and actually cut the corners and fold to make the maximum volume box.
Submit your (flattened) box (with your name on it) with th
V(x) =
X
X
11
8.5
x=
max. volume =
(Round to nearest 0.1)
(Round to nearest 0.1)
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