An open-topped Reasoning and Proving box is to be created from a 100-cm Representing Selecting Tools by 80-cm piece of cardboard by cutting out a square of side length x Problem Solving Connecting Reflerting Communicating from each corner. 100 cm a) Express the volume of the box as a function of x. b) Express the surface area 80 cm

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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An open-topped
Reasoning and Proving
box is to be created
Representing
Selecting Tools
from a 100-cm
by 80-cm piece
of cardboard by
cutting out a square
of side length x
Problem Solving
Connecting
Refierting
Communicating
from each corner.
100 cm
a) Express the
volume of
the box as a
function of x.
b) Express the
surface area
of the
open-topped box as a function of x.
c) Write a simplified expression for the
ratio of the volume of the box to its
surface area.
d) Based on your answer in part c), what
are the restrictions on x? What are the
restrictions in the context?
80 cm
Transcribed Image Text:An open-topped Reasoning and Proving box is to be created Representing Selecting Tools from a 100-cm by 80-cm piece of cardboard by cutting out a square of side length x Problem Solving Connecting Refierting Communicating from each corner. 100 cm a) Express the volume of the box as a function of x. b) Express the surface area of the open-topped box as a function of x. c) Write a simplified expression for the ratio of the volume of the box to its surface area. d) Based on your answer in part c), what are the restrictions on x? What are the restrictions in the context? 80 cm
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