Habakkuk wants to design an open rectangular box with the volume of 20 ft^3 such that the base has length twice the width. The material for the base costs Php 20.00 per square foot while the material for the sides costs Php 8.00 per square foot. What is the minimum cost of the materials to be used for the box.

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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Please help me with this.

Habakkuk wants to design an open rectangular box with the volume
of 20 ft^3 such that the base has length twice the width. The material
for the base costs Php 20.00 per square foot while the material for the
sides costs Php 8.00 per square foot. What is the minimum cost of the
materials to be used for the box.

Thank you.

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