Homework Help is Here – Start Your Trial Now!
Math
Calculus
0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You then cut equal-size squares from each corner so you may fold the edges. What is the approximate height of the box that will give the largest volume? Figure 12: Diagram for a Cardboard Box Construction 50 cm 20 cm https://tutorial.math.lamar.edu

0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You then cut equal-size squares from each corner so you may fold the edges. What is the approximate height of the box that will give the largest volume? Figure 12: Diagram for a Cardboard Box Construction 50 cm 20 cm https://tutorial.math.lamar.edu

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
See similar textbooks
icon
Related questions
Question
Answer the ff.
10. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You then cut equal-size squares from each corner so you may fold the edges. What is the approximate height of the box that will give the largest volume? Figure 12: Diagram for a Cardboard Box Construction 50 cm 20 cm https://tutorial.math.lamar.edu A. 4.4 cm B. 6.1 cm C. 8.9 cm D. 9.3 cm 11. If x is a right endpoint and f '(x) is positive on the interval to the left of x, then f(x) has at x. A. a maximum B. a minimum C. no extrema 12. What is the x-coordinate of the critical point of the function y = (x+ 2)5. A. x = -5 B. x = -3 C. x = -2 D. x = 0 13. A cylindrical can is to be made to hold 1.5 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the can. A. Radius: 5.4 cm; height 10.8 cm B. Radius: 6.3 cm; height 12.6 cm C. Radius: 8.2 cm; height 16.4 cm D. Radius: 6.2 cm; height 12.4 cm 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circle with radius r = 7 in. A. 5.25 in B. 10.5 in C. 21.0 in D. 34.2 in 15. Among all rectangles whose area is 400 m2, which one has the smallest perimeter? A. 99 m by 1 m B. 50 m by 2 m C. 25 m by 4 m D. 20 m by 20m
Transcribed Image Text:10. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You then cut equal-size squares from each corner so you may fold the edges. What is the approximate height of the box that will give the largest volume? Figure 12: Diagram for a Cardboard Box Construction 50 cm 20 cm https://tutorial.math.lamar.edu A. 4.4 cm B. 6.1 cm C. 8.9 cm D. 9.3 cm 11. If x is a right endpoint and f '(x) is positive on the interval to the left of x, then f(x) has at x. A. a maximum B. a minimum C. no extrema 12. What is the x-coordinate of the critical point of the function y = (x+ 2)5. A. x = -5 B. x = -3 C. x = -2 D. x = 0 13. A cylindrical can is to be made to hold 1.5 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the can. A. Radius: 5.4 cm; height 10.8 cm B. Radius: 6.3 cm; height 12.6 cm C. Radius: 8.2 cm; height 16.4 cm D. Radius: 6.2 cm; height 12.4 cm 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circle with radius r = 7 in. A. 5.25 in B. 10.5 in C. 21.0 in D. 34.2 in 15. Among all rectangles whose area is 400 m2, which one has the smallest perimeter? A. 99 m by 1 m B. 50 m by 2 m C. 25 m by 4 m D. 20 m by 20m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS