х х A piece of cardboard measuring 25 inches by 25 inches is formed into an open-top box by cutting squares with side length from each corner and folding up the sides. х 25 Find a formula for V(x), volume of the box in terms of x. Preview Find the value for x that will maximize the volume of the box. Hint: graph the function on your calculator. Give the value as a decimal number rounded to 2 places in the first box and the units in the second box. Use "in" for inches or "in^3" for cubic inches. х%3 What is the maximum possible volume of the box. Give the value as a decimal number rounded to 2 decimal places in the first box and the units in the second box. Use "in" for inches or "in^3" for cubic inches. Maximum Volume =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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х
х
A piece of cardboard measuring 25 inches by 25 inches
is formed into an open-top box by cutting squares with
side length from each corner and folding up the sides.
х
25
Find a formula for V(x), volume of the
box in terms of x.
Preview
Find the value for x that will maximize the
volume of the box. Hint: graph the
function on your calculator. Give the value
as a decimal number rounded to 2 places
in the first box and the units in the second
box. Use "in" for inches or "in^3" for cubic
inches.
х%3
What is the maximum possible volume of
the box. Give the value as a decimal
number rounded to 2 decimal places in
the first box and the units in the second
box. Use "in" for inches or "in^3" for cubic
inches.
Maximum Volume =
Transcribed Image Text:х х A piece of cardboard measuring 25 inches by 25 inches is formed into an open-top box by cutting squares with side length from each corner and folding up the sides. х 25 Find a formula for V(x), volume of the box in terms of x. Preview Find the value for x that will maximize the volume of the box. Hint: graph the function on your calculator. Give the value as a decimal number rounded to 2 places in the first box and the units in the second box. Use "in" for inches or "in^3" for cubic inches. х%3 What is the maximum possible volume of the box. Give the value as a decimal number rounded to 2 decimal places in the first box and the units in the second box. Use "in" for inches or "in^3" for cubic inches. Maximum Volume =
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