4. We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9 inch by 9 inch square. The volume V(x) in cubic inches of the open- top box is a function of the side length x in inches of the square cutouts. a. Write an expression for V(x). b. What is the volume of the box when x = 1? c. What is a reasonable domain for V in this context?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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4. We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up
the sides. The cardboard is a 9 inch by 9 inch square. The volume V(x) in cubic inches of the open-
top box is a function of the side length x in inches of the square cutouts.
a. Write an expression for V(x).
b. What is the volume of the box when x =1?
c. What is a reasonable domain for V in this
context?
Transcribed Image Text:4. We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9 inch by 9 inch square. The volume V(x) in cubic inches of the open- top box is a function of the side length x in inches of the square cutouts. a. Write an expression for V(x). b. What is the volume of the box when x =1? c. What is a reasonable domain for V in this context?
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