A Box Is to Be Made from a Rectangular Piece $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$

question 212

Multiple Choice

A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 28 inches long and 54 inches wide, and the squares
Removed from the corners are x inches wide. The volume of the box is given by the function $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$ What restrictions must be placed on x to satisfy the conditions of this model? In other
Words, what is the domain of this function?

• A) \(x > 14\)
• B) \(0 < x < 27\)
• C) \(0 < x < 14\)
• D) \(x > 0\)

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Definitions:

Constitute

To compose or form something, often used in a legal or formal context to indicate the components that make up a whole.

Probabilities

Measures the likelihood of an event occurring, ranging from 0 to 1.

Mutually Exclusive

Describes events that cannot occur at the same time.

Possible Outcomes

All the potential results that may occur from a specific action, experiment, or situation.