Answered: Find the maximum and minimum volumes of…

Find the maximum and minimum volumes of a rectangular box whose surface area is 1300 cm2 and whose total edge length is 200 cm.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

See similar textbooks

Related questions

Q: A closed cylindrical storage drum is to be made with a volume of 16 ft3. What are the dimensions of…

Q: Find the dimensions of a rectangle with area 1000m2 whoseperimeter is as small as possible.

Q: A container with square base, vertical sides, and open top is to be made from 1000 ft2 of material.…

A: Let the container has a base side "x" and height "y"

Q: A box with a square base with side length b and height h and with an open top must have a volume of…

Q: The volume of the closed cylindrical tank is 11.3 cubic meter, if the total surface area is a…

A: Given; The volume of the closed cylindrical tank is 11.3 cubic meter.

Q: A rectangular square-based open-top container is to be made so as the surface area equals 24 m2.…

A: let the dimensions of container according to question are :lengh=a,width=a, and height =hsurface…

Q: b. A container in the shape of a right circular cylinder with no top has a surface area of 15 ft?.…

A: We have to find the height and base radius for which the volume of the cylinder will be maximized.…

Q: Calculate the volume of water (in m3) on a field, when given: a length =150 m, the width =56 m and…

A: NOTE: Refresh your page if you can't see any equations. . here we have L=150 m W=56 m and the…

Q: with only 38.7 sqm of materials, a closed cylindrical tank of maximum volume is to be constructed ,…

Q: 3. What are the dimensions of the closed cylindrical can that has surface area 280 square…

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?. Lagrange multipliers

Q: Determine the dimensions of a rectangular box with a volume of 1 ft ^ 3 that has a minimum surface…

A: Given a rectangular box with volume 1 ft^3

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: 2. Calculate the volume of a water cylinder with total height of 10 meters and whose diameter is 400…

A: Given:height=10mDiameter=400 cmVolume of a cylinder=2πrh1m =100 cm

Q: Find the maximum and minimum volumes of a rectangular box whose, surface area is 1300 cm² and whose…

Q: The Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a…

A: Let dimension of tank be a*a*hBase area=a*a=a2height of tank=hgiven, volume=32+t3 a2h=32…

Q: A rectangular storage container with a square base and an open top is to have a fixed volume of…

Q: In constructing an open rectangular box from 192 ft? of material, what dimensions will result in a…

Q: Of all boxes with square base and a volume of 512 cm, which one has the minimum surface area? (Give…

Q: Determine the dimensions and surface area of a rectangular box, open at the top, having volume V,…

A: Determine the dimensions and surface area of a rectangular box, open at the top, having volume V,…

Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

Q: A closed rectangular box has volume 26cm^3. What are the lengths of the edges giving the minimum…

A: Given a rectangular box which has volume 26 cm^3.

Q: Find the dimensions of the closed rectangular box of largest volume with surface area of 16 m². What…

Q: Determine the dimensions of a rectangular box, open at the top, having volume V, and requiring the…

A: Let Length=xWidth=yHeight=z Then volume of the box is v=xyzz=vxy…

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

Q: West Coast Customs is constructing a closed-top, square-based, rect- angular subwoofer box that will…

A: Here we use application of derivatives to find the minimum surface area and find it's dimensions.

Q: A cylinder with no top is to have a volume of 100π cubic centimeters. Find the minimum possible…

A: To find the minimum possible surface area of the given type of cylinder.

Q: To calculate: The dimension of the rectangular solid with a square base that yields the minimum…

A: The rectangular solid has a square base. Let the dimensions of the rectangular solid be x, x and y.…

Q: A cylindrical can has a volume of 1024r cm. What dimensions yield the minimum surface area?

Q: Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm2 and whose…

A: Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm2 and whose…

Q: A closed rectangular box has volume 20 cm³. What are the lengths of the edges giving the minimum…

A: Solution is given below:

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

A: Follow the procedure given below.

Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

Q: A cylindrical can is to have a volume of 400 cubic centimeters. Find the dimensions (height and…

Q: It is desired to build a "roll-on" system from which a quarter of the diameter of the sphere…

A: Consider a sphere of radius R. The volume of a cap of height h corresponding to the base radius of r…

Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm? and whose total edge…

A: By using lagrange multiplier

Q: A company is constructing an open-top square-based, retangular metal tank that will have a volume of…

Q: What is the largest possible volume of a rectangular box whose diagonal has length L?

Q: Find the maximum volume of a rectangular box with no top that has a surface area of 48 square…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: Find the minimum cost of a rectangular box of volume 200 cm³ whose to

Q: The volume of a closed cylinder tank is 11.3 m3 . If the total surface area is a minimum ,what is…

A: Introduction :

Q: Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108…

A: Topic: calculus

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: To find the dimensions

Question

Find the maximum and minimum volumes of a rectangular box whose surface area is 1300 cm² and whose total edge length is 200 cm.

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

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the maximum largest possible volume for the polyhedron.
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?