Question

A box with a square base and closed top must have a total surface area of...

A box with a square base and closed top must have a total surface area of 600 cm2. Find the dimensions of the box that maximize its volume (clearly identify the decision variables, the constraints, and the objective function. You have to prove that the dimensions you get in the end are truly the dimensions for the maximum volume, and not the minimum or anything else)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A closed box with a square base is to have a volume of 2000in2. The material...
A closed box with a square base is to have a volume of 2000in2. The material for the top and bottom of the box is to cost $6 per in2, and the material for the sides is to cost $3 per in2. If the cost of the material is to be the least, find the dimensions of the box. Prove/justify your answer.
A closed rectangular box is to be constructed with a base that is twice as long...
A closed rectangular box is to be constructed with a base that is twice as long as it is wide. If the total surface area must be 27 square feet, find the dimensions that will maximize the volume.
A box with a square base and open top must have a volume of 108000 cm^3....
A box with a square base and open top must have a volume of 108000 cm^3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x.] Simplify your formula as much as possible....
A box with a square base and open top must have a volume of 157216 cm3cm3....
A box with a square base and open top must have a volume of 157216 cm3cm3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only xx, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of xx.] Simplify your formula as much as possible....
A box with a square base and an open top must have a volume of 864...
A box with a square base and an open top must have a volume of 864 cm^3. Find the dimensions of the box that minimize the amount of material used.  
A box with a square base and open top must have a volume of 364500 cm3cm3....
A box with a square base and open top must have a volume of 364500 cm3cm3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only xx, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of xx.] Simplify your formula as much as possible....
A manufacturer sends you 100m2 of material to construct a box (single layer, closed top). The...
A manufacturer sends you 100m2 of material to construct a box (single layer, closed top). The box must have a square base and be of maximum volume. Let sbe side length the base of the box, and hthe height of the box. a) Write an equation for the surface area covered by the material. b) Determine a formula for the volume V as a function of the side of s only. c) Determine the dimensions such that of the box...
A box with square base and open top is to have a volume of 10?3 ....
A box with square base and open top is to have a volume of 10?3 . Material for the base costs $10 per square meter and material for the sides costs $8 per square meter. Determine the dimensions of the cheapest such container. Use the first or second derivative test to verify that your answer is a minimum.
A box with a square base and open top must have a volume of 202612 cm3....
A box with a square base and open top must have a volume of 202612 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
A box with a square base and open top must have a volume of 296352 cm3....
A box with a square base and open top must have a volume of 296352 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT