Homework Help is Here – Start Your Trial Now!
Math
Algebra
(13 Suppose you want to make a rectangular cardboard box with no top by cutting out squares in the corners of a flat piece of cardboard, bending it up to make the sides, and taping them. (a) If your flat piece of cardboard is 8 feet by 6 feet, give the dimensions of two different size boxes you could make. (b) Could you make a box with a surface area of 48 square feet? If so, what are the dimensions? If not, why not? (c) Could you make a box with a surface area of 32 square feet? If so, what are the dimensions? If not, why not? (d) If you cut a length of 2 feet out of the flat piece, what will the volume of the box be? (e) If you cut a length of x feet out of the flat piece, give an expression for the volume of the box. (f) Use a graphing device of some sort and sketch the graph of your volume equation found above. Use the graph to answer the following question: Is it possible to make a box whose volume is 25 cubic feet?

(13 Suppose you want to make a rectangular cardboard box with no top by cutting out squares in the corners of a flat piece of cardboard, bending it up to make the sides, and taping them. (a) If your flat piece of cardboard is 8 feet by 6 feet, give the dimensions of two different size boxes you could make. (b) Could you make a box with a surface area of 48 square feet? If so, what are the dimensions? If not, why not? (c) Could you make a box with a surface area of 32 square feet? If so, what are the dimensions? If not, why not? (d) If you cut a length of 2 feet out of the flat piece, what will the volume of the box be? (e) If you cut a length of x feet out of the flat piece, give an expression for the volume of the box. (f) Use a graphing device of some sort and sketch the graph of your volume equation found above. Use the graph to answer the following question: Is it possible to make a box whose volume is 25 cubic feet?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
(13) Suppose you want to make a rectangular cardboard box with no top by cutting out squares in the corners of a flat piece of cardboard, bending it up to make the sides, and taping them. (a) If your flat piece of cardboard is 8 feet by 6 feet, give the dimensions of two different size boxes you could make. (b) Could you make a box with a surface area of 48 square feet? If so, what are the dimensions? If not, why not? (c) Could you make a box with a surface area of 32 square feet? If so, what are the dimensions? If not, why not? (d) If you cut a length of 2 feet out of the flat piece, what will the volume of the box be? (e) If you cut a length of x feet out of the flat piece, give an expression for the volume of the box. (f) Use a graphing device of some sort and sketch the graph of your volume equation found above. Use the graph to answer the following question: Is it possible to make a box whose volume is 25 cubic feet?
Transcribed Image Text:(13) Suppose you want to make a rectangular cardboard box with no top by cutting out squares in the corners of a flat piece of cardboard, bending it up to make the sides, and taping them. (a) If your flat piece of cardboard is 8 feet by 6 feet, give the dimensions of two different size boxes you could make. (b) Could you make a box with a surface area of 48 square feet? If so, what are the dimensions? If not, why not? (c) Could you make a box with a surface area of 32 square feet? If so, what are the dimensions? If not, why not? (d) If you cut a length of 2 feet out of the flat piece, what will the volume of the box be? (e) If you cut a length of x feet out of the flat piece, give an expression for the volume of the box. (f) Use a graphing device of some sort and sketch the graph of your volume equation found above. Use the graph to answer the following question: Is it possible to make a box whose volume is 25 cubic feet?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS