A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below: B A Suppose that the box height is h = 2 in. and that it is constructed using 143 in.² of cardboard (i.e., AB = 143). Which values A and B maximize the volume? A = in. B= in.

A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides as in the figure below: B A Suppose that the box height is h = 2 in. and that it is constructed using 143 in.² of cardboard (i.e., AB = 143). Which values A and B maximize the volume? A = in. B= in.

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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