Emily is making a closed rectangular box with a square base from two different woods. The wood for the top and bottom costs $16 per square metre, and the wood for the sides costs $8 per square metre. If the square base must have a side length between 0.25m and 1m, what are the dimensions of the box that will minimize the cost of wood for a volume of 0.25 cubic metres?

Emily is making a closed rectangular box with a square base from two different woods. The wood for the top and bottom costs $16 per square metre, and the wood for the sides costs $8 per square metre. If the square base must have a side length between 0.25m and 1m, what are the dimensions of the box that will minimize the cost of wood for a volume of 0.25 cubic metres?

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 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...

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