a box of fruit juice has the shape of a square base cuboid.It should hold 1000ml of fruit juice.Let x be the length of the square rib of the base and h cm the height of the box. a) Express h in relation to x b) find an expression for the total surface area of the cuboid depending on x. c) Find the value of x, for which the total surface area of the box takes the smallest value.

a box of fruit juice has the shape of a square base cuboid.It should hold 1000ml of fruit juice.Let x be the length of the square rib of the base and h cm the height of the box. a) Express h in relation to x b) find an expression for the total surface area of the cuboid depending on x. c) Find the value of x, for which the total surface area of the box takes the smallest value.

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.CR: Review Exercises

Problem 12CR

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