5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide and turning up the sides. A. What should be the dimensions of the box so as to maximize its volume? B. What is the volume of the largest box?

5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide and turning up the sides. A. What should be the dimensions of the box so as to maximize its volume? B. What is the volume of the largest box?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 39E

See similar textbooks

Related questions

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

Q: A rectangular building with a square front is to be constructed of materials that costs 18 dollars…

A: Solution of question is written in below steps.

Q: A farmer wants to make two identical rectangular enclosures next to his barn, as shown below. If he…

Q: 3. Find the dimension of a rectangle with area 1000 m² whose perimeter is as small as possible.

Q: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What is the area…

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: A cube has edges that are each twice as long as a second cube

Q: A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given, A piece of wire 19 m long is cut into two pieces. Part a: Let s be the length of the wire…

Q: Is data collected on income level (low, medium or high) classified as nominal or ordinal

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

Q: gutter with a trapezoidal cross-section is to be made from a long strip of metal 22 cm wide by…

Q: _4. What is the area of the enclosed regions in problem number 3? A. 10 sq. units B. 12 sq. units C.…

Q: O A cubical box is enlarged by e 3cm in length and width and 4em so that the resulting volume is…

Q: 1.) A Norman window consists of a rectangle surmounted by a semicircle. If the the perimeter of a…

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A: Given: Length of pool = 12 meter Breadth of pool = 8 meter The area of rectangular border must be…

Q: A factory is to be built on a lot measuring 160 ft by 300 ft. A local building code specifies that a…

A: It is given that The factory and the lawn occupy equal areas. Suppose that, The length of the…

Q: K.

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

Q: 7. Find the volume of the largest box that can be made by cutting equal squares out of the corners…

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: Given: The perimeter of the rectangle is 100 m. To find: Dimensions of the rectangle such that it…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

Q: 18 The rectangles of heights 6, 5, 4, 3, 2, 1 give a total estimated expense of triangle to show why…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: 1. A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

Q: 4. The volume of the fish tank needs to be tripled. 10 in 3 in 18 in What scale factor should be…

A: Given a fish tank whose volume has to be tripled. To find the scale factor

Q: 6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the…

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

Q: A rancher wishes to enclose a 4000 m² field and subdivide the field into 4 rectangular plots, as…

Q: Of all rectangles with area 400 in2, what are the dimensions of the one with the minimum perimeter?…

Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: solution is given below.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: Suppose that a rectangular pen is to be constructed with a dividing fence which forms a square on…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: If a cube has edges that are each twice as long as a second cube then its volume will be eight times…

A: Calculate volume in the following way:-

Q: 7. A rectangular lot adjacent to a highway is to be enclosed by a fence on all four sides. If the…

A: in the question it is asked to calculate the dimensions of field as given in question. Given values.…

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Consider the equation

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

Q: A piece of wire 27 m long is cut into two pieces. One piece is bent into a square and the other is…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

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: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…

Question

5. An open-top box is to be made by cutting squares from a sheet of tin 4 ft. long and 2.5 ft. wide and turning up the sides.

A. What should be the dimensions of the box so as to maximize its volume?

B. What is the volume of the largest box?

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

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the subdivided plots shown. aWhat are the overall dimensions of the rectangular enclosure shown? bWhat is the total area of the enclosure shown?
Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of the semicircle on the hypotenuse is equal to the sum of the areas of the semicircles on the two legs.
If the length of the radius and the height of a right circular cylinder are both doubled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? Note: The two cylinders are said to be similar.
When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?