Homework Help is Here – Start Your Trial Now!
Science
Physics
4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way?

4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
See similar textbooks
icon
Related questions
Question

6

 

4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way? 5. A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr. Meanwhile, the car is going north at a constant speed of 60 km/hr. (a) At what rate are they separating or approaching after 2 hours? (b) At what time are they closest to each other 6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light. 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above ground. At what rate is the length of his shadow changing when he is 20 feet away from the base of the light? At what rate is the tip of his shadow moving? 8. Water is running out of a conical funnel at the rate of 2 cubic inches per second. Th radius at the top of the funnel is 6 inches and the height of the funnel is 12 inches. How fast is the water level dropping when the water is 4 inches deep?
Transcribed Image Text:4. An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by cutting out equal squares from each corner and folding up the flaps to form the sides. Find the dimensions of the largest box that can be constructed in this way? 5. A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr. Meanwhile, the car is going north at a constant speed of 60 km/hr. (a) At what rate are they separating or approaching after 2 hours? (b) At what time are they closest to each other 6. A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of clear glass and transmit twice as much light as does the triangle which is made of stained glass. If the entire window has a perimeter of 20 feet, find the dimensions of the window that will admit the most light. 7. A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above ground. At what rate is the length of his shadow changing when he is 20 feet away from the base of the light? At what rate is the tip of his shadow moving? 8. Water is running out of a conical funnel at the rate of 2 cubic inches per second. Th radius at the top of the funnel is 6 inches and the height of the funnel is 12 inches. How fast is the water level dropping when the water is 4 inches deep?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Unit conversion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS