A rectangular box, with a top, is to hold 30 cubic metres. The material used to make the top and bottom costs 3 rupees per square metre, while the mate- rial used to make the front and back and the sides costs 4 rupees per square metre. What dimensions will yield the most economical box?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 19A: A rectangular steel plate 15.10 inches long and 12.45 inches wide weighs 19.4 pounds. Find the...
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A rectangular box, with a top, is to hold 30 cubic metres. The material used
to make the top and bottom costs 3 rupees per square metre, while the mate-
rial used to make the front and back and the sides costs 4 rupees per square
metre. What dimensions will yield the most economical box?
Transcribed Image Text:A rectangular box, with a top, is to hold 30 cubic metres. The material used to make the top and bottom costs 3 rupees per square metre, while the mate- rial used to make the front and back and the sides costs 4 rupees per square metre. What dimensions will yield the most economical box?
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