We want to construct a box, without a top, like figures 1 & 2 below. We need to use pieces of square cardboard of120 cm length (each outer side).Figure 1What should be the length of x, the sides of the corners of the box, so that the volume is maximum?What is the maximum volume?You can choose more than one solution.a. x = 60 cm, V = 128000 cm³b.V =128000 cm³O c.d.e.CheckFigure 2x = 20 cm, V = 288000 cm²x 20 cmx = 20 cm, V = 288000 cm³

Answered: Image /qna-images/answer/f5ab3551-68d3-44e8-9a81-3ea57190876f.jpg

Answered: We want to construct a box, without a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Anjali completely filled the container shown below with 616 small cubes that were each inch long. Part A Calculate the volume of the prism. Volume of the Prism: Volume of the cube: 616 x 0.125 = 77 inch Create a graphical model of a prism with base 5.5 by 3.5 that 05*3 = 0.125 inch Part B has the same volume as Part A. Show how Anjali can calculate the volume of the prism, in cubic inches, by using a volume formula instead of filling the container with small cubes.
According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end. What is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? Such a package is shown below, with and measured in inches. Assume . What are the dimensions of the package of largest volume? X y X Find a formula for the volume of the parcel in terms of and . Volume = cubic inches The problem statement tells us that the parcel's girth plus length may not exceed 108 inches. In order to maximize volume, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this produce involving and ?
What are the steps in solving routine and non-routine problems involving the volume of a cube and rectangular prism?
III. Answer the following questions. 1. A window in the shape of a rectangle surmounted by a right triangle can be seen in the image below. The ratio of the height of the right triangle to the width of the rectangle is 5:12. If the area of the window is 6 square meters, find the dimensions of the window so that the least amount of window frame material can be used.
Q.1: The length of rectangular piece of paper exceeds its breadth by 5cm. If a strip of 0.5cm wide be cut all round the piece of paper, the area of the remaining part would be 500 square cms. Find its original dimensions.
How do I solve this problem
Mac is about to sue his contractor who promised to install a water tank that holds 590 gallons of water. Mac knows that 590 gallons is the capacity of a tank that holds 79 cubic feet. The cylindrical tank has a radius of 3 feet and height of 2 feet 8 inches. Does the evidence indicate Mac can win the case against the contractor if it goes to court? Does the evidence indicate Mac can win the case against the contractor if it goes to court? Select the correct choice below and fill in the answer box within your choice. (Round to the nearest whole number as needed.) No, the water tank is about Yes, the water tank is about No, the water tank is about Yes, the water tank is about cubic feet too small. cubic feet too large. cubic feet too large. cubic feet too small.
Solid A is similar to Solid B. Solid A has a volume of 27 cubic feet and solid B has a volume of 64 cubic feet. Find the scale factor of Solid A to Solid B. If the surface area of solid A is 288 square feet. What is the surface area of solid B?
As an art student, Joseph has a model of a rectangular prism sculpture, which is shown below. He wants to triple the length while keeping the other dimensions the same. How will the surface area of the larger prism compare to the original one? 5 cm 2 cm 0 2019 Glynlyon, Inc. O The surface area will triple the model rectangular prism. O The surface area will double the model rectangular prism. O The surface area will need to be roughly 2.6 times larger than the model rectangular prism. O The surface area will need to be roughly 3.6 times larger than the model rectangular prism. 3 cm

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS