A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 16 in. sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold? + 8 in. e s in 16 in. The file should be in. high.

A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 16 in. sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold? + 8 in. e s in 16 in. The file should be in. high.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...

See similar textbooks

Related questions

Q: A tent has the shape of a regular pentagonal pyramid. The measure of one side of the pentagonal base…

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

A: The dimensions of the Olympic pool is 50m length, 25m width and 3 m depth

Q: What are the dimensions of the base of a rectangular pyramidal frustum with a volume of 4400, a…

A: The volume of the pyramidal frustum is=h3×l×w+lw×l1w1+l1w1 where h=height l1= length of the upper…

Q: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in Length = (12-2x) in…

Q: A production editor decided that a promotional flyer should have a 1-in. margin at the top and the…

Q: The sum of the lengths of all edges of a cube is 60 cm. Find the volume V and the surface area T of…

A: Given: The sum of the lengths of all edges of a cube is 60 cm. The number of edges in a cube is…

Q: A supermarket employee wants to construct an open-top box from a 14 inches by 30 inches piece of…

A: Use the figure to find the length, width and height for the box. So, the length = (30 – 2x) inches.…

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal…

A: Let l is length of the box, w is a width of the box and h is the height of the box.…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A: We have to find value of area AL

Q: A 20 ft long water trough has ends in the form of isosceles triangles whose equal sides are 4 ft…

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

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: Cylinder Q has a base radius of 10 cm and a height of 5 cm. Cylinder R has a radius that is half of…

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

Q: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is : SA = 2 ( WL + HL + HW ) Here L = length W = Width H =…

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

A: Given : A rectangular pool with length 50 m and width 25 m. To find :…

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm². What…

Q: 3. Gabby is designing a rectangular swimming for a client. The length and width of the pool are 10…

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Let x and y feet be the width and length of the rectangle. Diameter of semicircle is equal to width…

Q: Cone A has a radius 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the…

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l , l=18-2x breadth be b , b=35-2x height be h…

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

A: Given that, Length of pool is 50 meters Width of pool is 25 meters Depth of pool is 3 meters Client…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Given: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let the length of the wire that is cut for the square be x and length of the wire cut for the…

Q: A rectangular display in a furniture store needs walls on three sides only, with 6-foot openings on…

A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: given: perimeter=49feet

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The volume of a regular hexagonal pyramid with altitude h and side length b is defined as…

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

Q: Suppose that 465 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: We are given that 465 ft of fencing is used to enclose a corral in the shape of a rectangle with a…

Q: The owner of the Rancho Los Feliz has 2760 yd of fencing to enclose a rectangular piece of grazing…

A: In this problem, the largest area dimension is to be determined. The figure is attached in the page…

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: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: The volume V of the right circular cone is . If the height is twice the radius, which of the…

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A: Consider the given: Let the diameter of semicircle be x. So, Perimeter of the…

Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

Q: 1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…

Q: The volume of a right cone is 48π units^3. If its height is 9 units, find its circumference in terms…

A: Recall: volume, V=13πr2h Circumference, C=2πr We have, V=48π, h=9

Q: Find the length of the latus rectum and the distonce between foci of the elipse 4x +9y? - 8x + 36y…

Q: Mr. Armstrong wishes to build a deck of uniform width around his pool. The pool is rectangular and…

A: Let the width of the deck be x so the diagram of the pool and deck will be as following We know…

Q: The sum of the dimensions of a box with a sqaure base is 48 m. Find the maximum volume of the box.

A: Volume

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

Q: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We need to find the combined area of square & triangle & where it is maximum

Question

7.7.3
Skill Builder
Tutoring
Questión Help ▼
A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 16 in. sheet of plastic along two lines
to form a U shape. How tall should the file be to maximize the volume that it can hold?
+ 8 in.H
8 in.
16 in.
The file should be
in. high.
Enter your answer in the answer box and then click Check Answer.
Clear Alt
Check Answer
All parts showing
Blood (1).ppt
Open file

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?
Estimate ?? by SIMPSON’S 1/3 RULE (a → a + 2h)
A square has an edge of 9.2 in., with a possible error in the measurement of ± 0.04 in. Estimate the possible error in the area of the square.
15. What is the volume of a cube whose edges (4a + 3) cm in length? A. 64a³ – 48a² + 36a− 27 cm³ B. 64a³ + 48a² + 36a + 27 ??³ C. 64a³ – 144a² + 108a − 27 ??³ D. 64a³ + 144a² + 108a+ 27 ??³
22. Given a cardboard that measures 40 cm by 30 cm, determine the dimensions of the square corners that have to be removed, in order to create a box with an open top that has a volume of 2448 cm3.
Determine degree of freedom for the contingency table below: Seed A Seed B Seed C Total Germinating 47 10 125 182 Not germinate 42 41 49 132 Total 89 51 174 314 a. 7 b. 5 c. 2 d. 6
1-A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in. squares from each corner and folding up the sides. The box is to hold 3528 in3. How big a piece of cardboard is needed? 2-The height yy (in feet) of a ball thrown by a child isy=−1/12x^2+2x+5where xx is the horizontal distance in feet from the point at which the ball is thrown.(a) How high is the ball when it leaves the child's hand? feet(b) What is the maximum height of the ball? feet(c) How far from the child does the ball strike the ground?
The scores of 15 students in a math test are given below:43 37 59 71 56 62 45 65 51 50 32 58 45 62 76Construct a stem-and-leaf display of their scor
The volume of the resulting open top box when identical squares with side x are cut off from the four corners of a three meter by five meter aluminum sheet and the sides are turned up