a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 33 ft by 18 ft The resulting piece of cardboard is then folded into a box without a lid Find the volume of the largest box that can be formed in this way b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s Find the volume of the largest box that can be formed in this way a. The maximum volume of the box is approximately (Round to the nearest hundredth as needed.) b. The maximum volume of the box is (Type an expression using s as the variable.)
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 33 ft by 18 ft The resulting piece of cardboard is then folded into a box without a lid Find the volume of the largest box that can be formed in this way b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s Find the volume of the largest box that can be formed in this way a. The maximum volume of the box is approximately (Round to the nearest hundredth as needed.) b. The maximum volume of the box is (Type an expression using s as the variable.)
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 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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