Suppose 2700 cm² of material is available to make a box with a square base and open top.1a) Show that the volume of the box is given by V(x) = 675x – x³.hb) Find the largest possible volume of the box.

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Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show that the volume of the box is given by V (x) = 675x - h b) Find the largest possible volume of the box.

Suppose 2700 cm² of material is available to make a box with a square base and open top. a) Show that the volume of the box is given by V (x) = 675x - h b) Find the largest possible volume of the box.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.13: Using Factoring To Solve Problems

Problem 27P

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Question

Suppose 2700 cm² of material is available to make a box with a square base and open top.
1
a) Show that the volume of the box is given by V(x) = 675x – x³.
h
b) Find the largest possible volume of the box.

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