Answered: An open rectangular tank with a square…

An open rectangular tank with a square base can accommodate 1,922 cubic feet of water. Find the surface area (in sq. ft.) of the tank that minimized the amount of material used in its construction

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 25A

See similar textbooks

Related questions

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: Let heigh of box=h and base sides of box=a The surface area of open box is S=the sum of the…

Q: If 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

A: A hemispherical tank is filled with water and has a diameter of 5 feet. If water weighs 62.4 pounds…

Q: A rectangular piece of metal is 30 in longer than it is wide. squares with sides 6 in. long are cut…

A: Consider the provided question,Let width of the rectangular piece of metal = x in.Length = (x + 30)…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

Q: According to postal regulations, a carton is classified as “oversized” if the sum of its height and…

A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of…

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4cm. If…

A: Given : In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is…

Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight…

Q: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: the volume of a sphere whose radius is 2cm is four times that of a sphere whose radius is 1cm true…

A: Given, The volume of a sphere whose radius is 2 cm is four times that of a sphere whose…

Q: A rectangular box with a volume of 720 ft is

A: The volume of the rectangular box is 720 ft3. From the provided diagram, the height of the box is y…

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

Q: The base of a right prism is a rectangle. If the rectangle has dimensions 2 x 3, and the prism has a…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: From a piece of cardboard 24cm x 15cm, a box is to be made by cutting equal squares out of its…

A: Here I am attaching image so that you understand each and every step.

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: A metal plumb bob comprises a hemisphere surmounted by a cone. If the diameter of the hemisphere and…

A: Given the diameter of the hemisphere and cone = 4 cm Total length of the bob = 5 cm Find the volume…

Q: A poster is to have a total area of 125 square inches with 2-inch margins at the bottom and sides…

A: Find the overall dimensions of the poster that maximizes the poster area.

Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

Q: Determine the dimensions of a rectangular box, open at the top, having a volume of 32 cubic feet,…

Q: If I have a cube that is 1 meter on each side, what is the surface area of one side in square…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high.…

A: Given dimensions of storage room: width, w= 6ft depth, d=10 ft height, h=12 ft

Q: A hemispherical tank is filled with water and has a diameter of 22 feet. If water weighs 62.4 pounds…

A: the volume of a hemisphere is given by V=23πr3 here diameter is 22 feet so the radius is r=11 feet…

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

Q: Find the dimensions of a rectangle with area 1000 square meters whose perimeter is as small as…

Q: The U.S Post Office will accept a box for shipping only if the sum of the length and girth (distance…

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

Q: A cookie company packages its cookies in rectangular prism boxes designed with square bases that…

A: The volume of the box will be: length × width × height

Q: A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds…

A: we know weight is density×volume.density of water is already given 62.4 lb/ft3. we need to find the…

Q: In order to properly feed her animals, a rancher needs to enclose a total area of 4704 square feet…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: An architect needs to design a rectangular room with an area of 89ft2 . What dimension should be use…

Q: Multivariable optimization question

Q: Golf balls are usually dimpled. Does a dimpled golf ball have more surface area than a smooth golf…

A: Dimples reduce the drag exerted on the ball. A dimpled ball experiences about half of drag…

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A: Solve for the largest possible volume

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: This question involves the concept of find the local extrema using calculus.

Q: A piece of wire is shaped to enclose a square whose area is 169 sq. cm. It is then reshaped to…

A: area and perimeter

Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

A: Box shape is nothing but cuboid. Surface Area of closed box (Total surface area of cuboid) is 200…

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

Question

An open rectangular tank with a square base can accommodate 1,922 cubic feet of water. Find the surface area (in sq. ft.) of the tank that minimized the amount of material used in its construction.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
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?
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.
The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?