An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have. Round your answer to the nearest integer.
An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have. Round your answer to the nearest integer.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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Transcribed Image Text:An open box is to be made from a 33 ft by 88 ft rectangular piece of sheet metal by cutting out squares of equal size from the four
corners and bending up the sides. Find the maximum volume that the box can have.
Round your answer to the nearest integer.
The maximum volume is i
ft3.
Transcribed Image Text:A closed rectangular container with a square base is to have a volume of 3456 in³. The material for the top and bottom of the
container will cost $2 per in?, and the material for the sides will cost $1 per in?. Find the dimensions of the container of least cost.
Let x be the length of each edge of the base and y be the height. Enter the exact answers.
X =
inches
y =
i
inches
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