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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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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Answer B and C
Find the volume and the dimensions of the largest rectangular box in the first octant with three faces in the
coordinate planes and one vertex on the surface z = 10-2x-y².
İ
a) Find the volume function (in terms of x & y) for this rectangular box and sketch it in the first octant.
b) Maximize the volume of this rectangular box.
c) What are the dimensions & volume of this largest possible rectangular box?
Transcribed Image Text:Find the volume and the dimensions of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex on the surface z = 10-2x-y². İ a) Find the volume function (in terms of x & y) for this rectangular box and sketch it in the first octant. b) Maximize the volume of this rectangular box. c) What are the dimensions & volume of this largest possible rectangular box?
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