A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the figure below. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find a such that the volume of the box is a maximum. The equation that gives the volume of the box in terms of the length of x is: V = x(8 − x)(11 – 2x) ------ 16 cm Lid 11 cm What is the domain of the function in context of the problem? Length of the equal squares that are removed: x = Volume of the box: V Select on or x < Select an answer

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
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A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the
figure below. Two equal squares of side x are to be removed from one end, and two equal rectangles
are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find
such that the volume of the box is a maximum.
The equation that gives the volume of the box in terms of the length of a is: V = x(8 − x)(11 – 2x)
Lid
16 cm ->
11 cm
What is the domain of the function in context of the problem?
Length of the equal squares that are removed: x =
Volume of the box: V =
Select an answer ✓
< x <
Select an answer ✓
Transcribed Image Text:A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the figure below. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find such that the volume of the box is a maximum. The equation that gives the volume of the box in terms of the length of a is: V = x(8 − x)(11 – 2x) Lid 16 cm -> 11 cm What is the domain of the function in context of the problem? Length of the equal squares that are removed: x = Volume of the box: V = Select an answer ✓ < x < Select an answer ✓
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