Solve the Problem $15 \mathrm { in }$ By Problem $15 \mathrm { in }$

question 404

Multiple Choice

Solve the problem.
-Suppose that an open box is to be made from a square sheet of cardboard by cutting out 3-inch squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 243 cubic inches, find the original dimensions of the sheet of cardboard.

• A) \(15 \mathrm { in }\). by \(15 \mathrm { in }\).
• B) \(9 \sqrt { 3 }\) in. by \(9 \sqrt { 3 } \mathrm { in }\).
• C) 3 in. by \(3 \sqrt { 3 } \mathrm { in }\).
• D) 9 in. by \(9 \mathrm { in }\).

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Definitions:

Short Synthesis

A concise and efficient synthetic process for producing compounds, often desirable in organic chemistry for its time and resource efficiency.

Butanoic Acid

An organic compound with the formula C4H8O2, also known as butyric acid, characterized by its unpleasant smell and occurrence in butter and animal fat.

Bromoacetone

An organic compound with the formula C3H5BrO, used in the past as a tear gas.

Bromodiiodomethane

A halogenated methanol compound with the formula CH2BrI2, often used in organic synthesis and as a dense fluid for mineral separation.