A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the paper is 7"-wide by 9"-long. i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) cubic inches Preview ii. What cutout length produces the maximum volume? inches Preview b. Suppose we instead create the box from a 11"-wide by 13"-long sheet of paper. i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) cubic inches Preview ii. What cutout length produces the maximum volume? inches Preview

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the paper is 7"-wide by 9"-long. i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) cubic inches Preview ii. What cutout length produces the maximum volume? inches Preview b. Suppose we instead create the box from a 11"-wide by 13"-long sheet of paper. i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.) cubic inches Preview ii. What cutout length produces the maximum volume? inches Preview

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: 1. Describe the effect on the area if the height of a trapezoid with base lengths 12 cm and 8 cm and…

A: The base lengths of a trapezoid are a = 12cm and b = 8 cm Initial height of the trapezoid, hi = 6 cm…

Q: Question 2 A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the…

Q: square: Answer 16. A room 12-4" by 13-4 with an 8-4 ceiling height has one door 3x7 and two windows…

Q: If the edge of a hexahedron is increased by 50%, by how much percentage will the volume increase?…

Q: 2. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that…

A: All parts are answered. Area of rectangle = Width* Length

Q: A 5000 m² rectangular area of a field is to be enclosed by a fence, wi inner fence build across the…

A: Introduction: The formula for the area of a rectangle with length l and width y is given by, area=xy…

Q: 18. The volume of this rectangular prism is 5,120 cubic inches. What is the height of the…

Q: In the diagram below, the cube's side length and the sphere's diameter is equal. If the sphere's…

A: Given: Sphere radius is one and four tenths feet And also the cube's side length and sphere's…

Q: a. Provide a drawing for what one square foot would look like. b. How many square inches are in one…

Q: Assume that when you take a bath, you fill a tub to the halfway point. The tub measures 6 feet by 3…

A: The measurement of the tub is feet by feet by feet.The tub is half filled.The rate of flow from…

Q: 3. If the surface area of the prism below is 476 square meters, what is the value of he reter A…

A: Let length of prism l=9 mLet width of prism b=5.5 mLet height of prism =h m

Q: You are looking to purchase a small piece of land in Hong Kong. The price is "only" $60,000 per…

A: Given that, the initial length is L0=30 and the initial width is W0=35. Therefore, the initial area…

Q: A silo is to be constructed so that a farmer can store grain inside it. The silo is designed to have…

A: Consider the provided question, The silo is designed to have the shape of a cylinder. Given, height…

Q: . A truck rental company rents a 12-ft by 8-ft by 6-ft truck for $69.95 per day plus mileage. A…

Q: A dairy farmer has 1500 feet of fencing. He wants to use all 1500 feet to construct a rectangle and…

A: Given that Total fencing = 1500 feet Length of the larger rectangle = L Width of the larger…

Q: 1. A couple wishes to replace the carpeting in their master bedroom. Their master bedroom measures…

A: the length and width of the master bedroom is given and it is

Q: 5. Gretchen has 75 acres of alfalfa hay. She expects a yield of 2.9 tons per acre. She is using a…

A: Please find the solution below:

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find…

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: Solid) A Vanhauten chocolate bar in the shape of a rectangular prism is having the dimensions of 2…

A: Let V be the volume of the rectangular prism chocolate bar having dimensions 2 cm by 4 cm by 12 cm.…

Question

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the
sides.
a. Suppose the paper is 7"-wide by 9"-long.
i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.)
cubic inches
Preview
ii. What cutout length produces the maximum volume?
inches
Preview
b. Suppose we instead create the box from a 11"-wide by 13"-long she
of paper.
i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.)
cubic inches
Preview
ii. What cutout length produces the maximum volume?
inches
Preview

A box is formed by cutting squares from the four corners of a sheet of paper and folding up the
sides. The graph below shows how the volume of the box in cubic inches, V, is related to the
length of the side of the square cutout in inches, x.
V
(1.3, 36.61)
a. The point (1, 35) is on the graph. This means that when the volume of the box is 1.3
* cubic inches, the cutout length is 36.61
* inches.
b. When the cutout length is 2.5 inches, the volume of the box is 20 cubic inches. This means
that the point 40
|* is on the graph above.
c. Suppose the largest possible cutout length is 3.5 inches. Over what interval of x does the
volume of the box decrease as the cutout length gets larger? (Enter your answer as an
interval.)
80
Preview

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

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

Similar questions

You are required to submitted an artwork of 60 sq.m. Proper margins of 5 cm. on either side should be observed and the margins of 3 cm. on top and bottom. How long should your artwork be in order to minimize the amount of paper used? С. 12 A. 10 В. 18 D. 15
A rectangular poster is to have 50 in.? for printed matter (the shaded area in the figure to the right). It is to have a 2-in. margin on each side and a 4-in. margin at the top and bottom. Find the dimensions of the poster so that the amount of paper used is minimized. A horizontal width of inches will minimize the amount of paper used for the poster. (Type an integer or a decimal.)
Please answer this within 30mins ! I will upvote !
Question A cake decorator has exactly enough icing to cover the top and sides of a round cake that has a diameter of 20 cm and is 8 cm high. It has been decided to change to a cube-shaped cake. What is the largest size of cubic cake that can be iced on the top and sides with this amount of icing? Give this size to the nearest cm, justifying your answer.
cone. 2. Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an identical square base and the same height as the cube. The innermost figure is a cone with a diameter and height equal to the edge of the cube. Calculate each difference in the volumes. Round your answers to the nearest whole cubic centimeter. Difference between cube and pyramid: cubic inches Difference between pyramid and cone: cubic inches Difference between cube and cubic inches cone: Discovery Education | www.Discovery Education.com D. E. 4. A cylinc has the s Which o A. T B. 11 CO C. A VO the D. As volu volu