Question: A rectangular box with no top and two intersecting partitions (see the figure) must hold a volume of 72 cubic inches. Find the dimensions that

A rectangular box with no top and two intersecting partitions (see the figure) must hold a volume of 72 cubic inches. Find the dimensions that will require the least amount of material.

Figure for 36

Step by Step Solution

★★★★★

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x length y width and z height Then V xyz 72 or The surface area of the box is S xy 3xz 3yz or y ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

828-B-F-F-M (4879).docx

120 KBs Word File

Students Have Also Explored These Related Finance Questions!

A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square ends that...

A rectangular piece of cardboard, 40 in. long by in. wide is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a...

The Edgeworth box diagram can also be used to show how a production possibility frontier is constructed for an economy as a whole. Suppose there are only two goods that might be produced (X and Y),...

A rectangular box with no top and two parallel partitions (see the figure) is to be made to hold a volume of 8 cubic inches. Find the dimensions that will require the CZ least amount of material. X...

Question 1 Three pens of the same size are to be built along an existing fence. If 560 feet of fencing is available, what X length should x and y be to produce the maximum total area? What is the...

Please circle final answers Question 1 Find f'(0), f"(0), and and determine whether f has a local minimum, local maximum, or neither at x = 0 f ( x ) = (5x+ 6)2 What is f'(0)? f' (0) = What is...

A rectangular box with no top and two intersecting partitions is to be constructed from 363 square inches of cardboard (see the figure). Find the dimensions that maximize the volume. The dimensions...

need help with these 1. length 20, width 5 2. length 10, width 3. length 5. width = 5 4. length 10. width = 10 5. length 20. width = 10 6. length 5, width 10A rectangular box with no top and two...

Can I get some assistance with solving these two problems. I am unsure on how to solve them. Could you please solve and explain how you got to the final answer. Thank you. 2. Find all critical points...

With a mass flow rate of 4.47 kg/s, the refrigerant R-134a enters a non-adiabatic nozzle (inlet diameter = 0.38 m and unknown outlet diameter) at 120C and 380 kPa. Due to some heat loss to the...

A couple plans to have 4 children. a. List the 16 different possible outcomes according to the gender of each child. Assume that these outcomes are equally likely. b. Find the probability of getting...

1.7 A CBS News poll taken in December 2009, asked a random sample of 1048 adults in the United States, In general, do you think the education most children are getting today in public schools is...

A meteorologist measured the temperature every 2 hours for a day in January and for a day in June. Here are the temperatures, in degrees Fahrenheit, for the January day: 23, 22, 21, 21, 23, 27, 28,...

Is there a crude association between either measure of adiposity (BMI, WHR), considered separately, and serum estradiol?

Are these relationships similar for Caucasian and African American women?

Do the relationships between the adiposity measures and serum estradiol persist after controlling for the other breast-cancer risk factors in list items 1 to 6?

Researchers have been interested in the risk of knee osteoarthritis in former professional sportspeople. The following questions relate to a series of studies undertaken on a study sample of 1000...

1. A. Determine the number of cups of frozen yogurt sold each year. 1. In early 2020, Jennifer (Jen) Liu and Larry Mestas founded Jen and Larrys Frozen Yogurt Company, which was based on the idea of...

X is a Normally distributed random variable with a mean of 10 and a variance of25 (or more succinctly,XN(10,25)). SupposeYis another random variable andsuppose its value is determined in the...