Question: A box with a square base and open top must have a volume of 500000 cm3. We wish to find the dimensions of the box

A box with a square base and open top must have a volume of 500000 cm3. 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.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used.

Please help! 1. Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a, = 9 inches by b = 8 inches by cutting a square of side a: at each corner and turning up...

1. An oil refinery is located on the north bank of a straight river that is2km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river7km east...

0 Question 1 v Textbook ;_' @' Videos 3: [+] A box with a square base and open top must have a volume of 186624 cm3. We wish to find the dimensions of the box that minimize the amount of material...

prompt help Ifyou have 300 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Area = 1" (include units) HINTS: Keep...

Hello can you answer all of these, please? 1) Show that a rectangle with a given area has a minimum perimeter when it is a square. 2) A box with a square base and open top must have a volume of 400...

0 Question 1 " B 0/1 pt '0 2 8 99 (9 Details 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...

0 Question 6 v l3 0/10 pts '0 2 GI A box with a square base and open top must have a volume of 97556 cm3. We wish to find the dimensions of the box that minimize the amount of material used. First,...

1. Why is piercing the corporate veil an extraordinary remedy? 2. What happened to the assets of Becker Interiors?

Sturdivant Sound Systems manufactures and sells sound systems for both home and auto. All parts of the sound systems, with the exception of DYD players, are produced in the Rochester, New York,...

P2.35 A feedback control system has the structure shown in Figure P2.35. Determine the closed-loop transfer function Y1s2/R1s2 (a) by block diagram manipulation and (b) by using a signal-flow graph...

Kashmir Enterprises, an Indian carpet manufacturer, begins the calendar year with the following Indian rupee (INR) balances: Cash 920,000 Accounts payable 420,000 Inventory 640,000 Owners equity...