Even if you only help with part a I'll be grateful. 3. Minimizing Surface Areaa.Of all boxes with a square base and a fixed volume V, which one has the minimum surface area?b. (Give its dimensions in terms of V.)Let V = 1000 meters cubed and give the dimensions using your solution in part (a).C.d. Sketch the surface area function As that was minimized in part (a). Use a reasonable domain. Labelaxes appropriately, including units.

As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Answered: Minimizing Surface Area

Math

Calculus

Minimizing Surface Area

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks

Related questions

Q: Find the volume of a napkin ring created by drilling a hole of radius r through the center of a…

A: The volume of a solid, obtained by rotating about the y axis, the region under the curve y = f (x)…

Q: Suppose you build an architectural model of a new concert hall using a scale factor of 45 how will…

Q: Hey sorry but I just want to confirm. What's the minimal cost of painting?

A: Given problem:- A container in the shape of a (right) cylindrical can with an open top of volume 8π…

Q: I need help with part f

A: (f) Determine whether the income is independent of education level are not. The income is…

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: The length of the cuboid is 30 meters. The width of cuboid is 25 meters. The depth of cuboid is 3…

Q: need

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: Find the least possible cost of painting the cement block.

A: Please find the solution

Q: You have 268 feet of fencing to enclose a rectangular region find the demensions of the rectangle…

A: let x is length, y is the width of a rectangle then Area =x×y Perimeter =2(x+y)

Q: answer part b frq style

A: The test statistic is given by p-value =0.000618 Excel formula used: "=T.DIST.RT(G17,58)"

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches…

Q: My rectangular cabbage patch has a total area of 80 sq. ft. Find its perimeter in terms of the width…

A: Given the data:

Q: please show all work. I only need part d.)

Q: You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the…

A: maximum area of the rectangle

Q: Two boxes with the same volume contain socks that you designed for a fundraiser. Box A is 6 inches…

A: Two boxes with the same volume containing socks are given. We need to decide which box has more…

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

Q: A rectangular page is designed to contain 121 square inches of print. The margins at the top and…

Q: How do I find the perimeter of a shape?

Q: If the volume of the image of a shape is 160 and the volume of the pre-image of the shape is 20,…

A: Given Data: The volume of the image is: Vi=160 The volume of the pre-image is: Vp=20 The scale…

Q: How to find the lactus rectum if (x-4)^2 =-16(y+1)

A: Length of the latus rectum is 4a

Q: Could you please help me and show the work

A: Given, y=axx2-bx-c

Q: You need to design a rectangular garden that covers 216 square feet. The garden must be divided into…

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: Solution : We have given the cost of east and west sides fencing is $4 per foot and for north and…

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

Q: Kindly

A: Please refer to the image below

Q: Consider a rectangle that has a perimeter of 40 inches. What are the dimensions (width and length)…

A: Given perimeter of rectangle=40 inches

Q: Can you please hand write or make the work more clear?

Q: A Plastic flower pot in the form of an inverted pyramid has a height of 6 inches whose four edge's…

A: Solved below

Q: A Norman window consists of a rectangle surmounted by a semicircle. What shape gives the most light…

A: Given: The window consists of a rectangle surmounted by a semicircle. Let b be the breadth of the…

Q: My rectangular soccer field site has a length equal to three times its width. Find its area in terms…

Q: Scenario: The Westbury family is building a rectangular pool and wants to lay 1 ft x 1 ft tiles…

A: The maximum length of their backyard is 22 ft. So the tile and the pool length together can maximum…

Q: A box with a square base and open top must have a volume of 131072 cm?. We wish to find the…

Q: A regular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the…

A: Let us take the length of the side of the hexagon as x, then the perimeter is 6x.

Q: 2.

A: ∫x2ex dxBy integration by parts

Q: Professor XYZ would like to enclose a rectangular garden with a fence. He has 300 meters of fencing.…

A: We consider the total length of fencing for getting the maximum area.

Q: The diagram shows a prism whose cross-section is a square the height of the prism is 19 cm and each…

A: To find the surface area of the given square prism

Q: A certain driving test requires the driver to stop with the front wheel of the vehicle inside a…

A: The area of a rectangle is calculated using the formula below. The perimeter of a rectangle is…

Q: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you…

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the…

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Given, volume of dumpster= length(l) ×base(b)×height(h) from given condition b=x, l=2x, h=x…

Q: top

Q: You have 600 ft of fencing material to construct a rectangular pen for cattle. What are the…

A: Draw diagram.for.pen

Q: The capacity of a cylinder varies jointly with its height and the square of its radius. If a…

A: Proportionality sign is important when we say a quantity varies directly or indirectly with some…

Q: 8. What is the surface area of a sphere having a diameter of 10 inches?

A: Given, Diameter of sphere(d)= 10 inches To find: Surface area of sphere

Q: Find the dimensions of a rectangular material. The length is 4 cm less than twice its width. The…

Q: Suppose you build an architectural model of a new concert hall using a scale factor of 55. How will…

A: According to question given that Build an architectural model of new concert hall using a scale…

Q: Please answer part c), d) e) and f) PLEASE PROVIDE ACCURATE ANSWER

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Isla wants to build a playhouse that is in the shape of a rectangular pyramid that has the maximum…

A: Option D is correct..

Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: The area of the rectangular land is 1800 sq feet. let the side parallel to divider be y and the side…

Q: Please help me with my assignment, show work thank you. Please answer both part A,B

A: Given

Q: To cope with the lockdown brought by the pandemic, many have focused their attention to gardening as…

A: SITUATION: Given that, the volume of the rectangular plant box must be, Vx=4x3-3x2-9x-2 cubic…

Question

Even if you only help with part a I'll be grateful.

3. Minimizing Surface Area
a.
Of all boxes with a square base and a fixed volume V, which one has the minimum surface area?
b. (Give its dimensions in terms of V.)
Let V = 1000 meters cubed and give the dimensions using your solution in part (a).
C.
d. Sketch the surface area function As that was minimized in part (a). Use a reasonable domain. Label
axes appropriately, including units.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here