2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a 80 cm³ glass rectangular prism with square base. The glass to be used for the square bases (for the top and bottom faces) costs P5 per cm? and the glass to be used for the sides costs P4 per cm?. Find the dimensions of the glass rectangular prism that will minimize the cost of its construction.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a
80 cm³ glass rectangular prism with square base. The glass to be used for the square bases
(for the top and bottom faces) costs P5 per cm? and the glass to be used for the sides costs
P4 per cm2. Find the dimensions of the glass rectangular prism that will minimize the cost
of its construction.
Transcribed Image Text:2. During the planning of a birthday party, it is decided that the souvenir will be enclosed in a 80 cm³ glass rectangular prism with square base. The glass to be used for the square bases (for the top and bottom faces) costs P5 per cm? and the glass to be used for the sides costs P4 per cm2. Find the dimensions of the glass rectangular prism that will minimize the cost of its construction.
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