Your friend is designing an aquarium for her fish. It has to have a volume of 8 ft?. She wants the length to be twice the width. The glass for the sides costs $3 per square foot, and the material for the top and bottom costs $1 per square foot (the aquarium has a cover). What are the dimensions of the lowest cost aquarium meeting these conditions? Also, what is this lowest cost?

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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Your friend is designing an aquarium for her fish. It has to have a volume of 8 ft. She wants
the length to be twice the width. The glass for the sides costs $3 per square foot, and the material
for the top and bottom costs $1 per square foot (the aquarium has a cover). What are the
dimensions of the lowest cost aquarium meeting these conditions? Also, what is this lowest cost?
Transcribed Image Text:Your friend is designing an aquarium for her fish. It has to have a volume of 8 ft. She wants the length to be twice the width. The glass for the sides costs $3 per square foot, and the material for the top and bottom costs $1 per square foot (the aquarium has a cover). What are the dimensions of the lowest cost aquarium meeting these conditions? Also, what is this lowest cost?
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