Solve the Problem $\mathrm { V } ( \mathrm { x } ) = \mathrm { x } ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )$

question 107

Multiple Choice

Solve the problem.
-A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 11 inches by 27 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
Express the volume V of the box as a function of x.

• A) \(\mathrm { V } ( \mathrm { x } ) = \mathrm { x } ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )\)
• B) \(\mathrm { V } ( \mathrm { x } ) = ( 11 - 2 \mathrm { x } ) ( 27 - 2 \mathrm { x } )\)
• C) \(V ( x ) = ( 11 - x ) ( 27 - x )\)
• D) \(V ( x ) = x ( 11 - x ) ( 27 - x )\)

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Definitions:

Percent

A unit of measure equal to one hundredth of a total; a way to express fractions as parts of a hundred.

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