A closed rectangular box whose length of its base is twice as long as its width has a volume of 36,000 cm3. The material for the top costs 10 centavos/cm2; that for the sides and bottom costs 5 centavos/cm2. Find the dimensions that will make the cost of making the box minimum.

A closed rectangular box whose length of its base is twice as long as its width has a volume of 36,000 cm3. The material for the top costs 10 centavos/cm2; that for the sides and bottom costs 5 centavos/cm2. Find the dimensions that will make the cost of making the box minimum.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter84: Binary Numeration System

Section: Chapter Questions

Problem 5A

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Question

a closed rectangular box whose base is twice as long as it is wide has a volume of 36000 cm^3.the material for the top cost 10 centavo per sq cm,that for the sides and bottom cost 5 centavos per sq cm.find the dimensions that will make the cost of making the box a minimum

A closed rectangular box whose length
of its base is twice as long as its width
has a volume of 36,000 cm3. The
material for the top costs 10
centavos/cm2; that for the sides and
bottom costs 5 centavos/cm². Find the
dimensions that will make the cost of
making the box minimum.
none of the above
30cm X 60cm X 20cm
20.8cm X 41.6cm X 41.6cm
26.21cm X 52.42cm X 26.21cm
18.42cm X 36.84cm X 36.84cm
20cm X 40cm X 31.25cm
23.21cm X 46.42cm X 23.21cm

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