Directions: Use a calculator or Desmos to help you solve the following problem. Round answers to the hundredths place when necessary. An open top box is constructed by cutting congruent squares from the corners of a 24" by 16" piece of cardboard and then folding up the remaining cardboard along the dotted lines. Let x represent the length of the squares that are removed as shown in the figure below. a) What is the equation of the volume of the box in factored form? Volume %D b) What are the realistic domain values for this function? c) What length square should be removed from the corners to maximize the volume of the box? inches
Directions: Use a calculator or Desmos to help you solve the following problem. Round answers to the hundredths place when necessary. An open top box is constructed by cutting congruent squares from the corners of a 24" by 16" piece of cardboard and then folding up the remaining cardboard along the dotted lines. Let x represent the length of the squares that are removed as shown in the figure below. a) What is the equation of the volume of the box in factored form? Volume %D b) What are the realistic domain values for this function? c) What length square should be removed from the corners to maximize the volume of the box? inches
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,...
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Transcribed Image Text:Directions: Use a calculator or Desmos to help you solve the following problem. Round
answers to the hundredths place when necessary. An open top box is constructed by
cutting congruent squares from the corners of a 24" by 16" piece of cardboard and then
folding up the remaining cardboard along the dotted lines. Let x represent the length of
the
squares that are removed as shown in the figure below.
a) What is the equation of the volume of the box in factored form?
Volume
%D
b) What are the realistic domain values for this function?
c) What length square should be removed from the corners to maximize the
volume of the box?
inches
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