Solve the Problem
-A Rectangular Piece of Cardboard Measuring 15 $\mathrm { x }$

question 41

Multiple Choice

Solve the problem
-A rectangular piece of cardboard measuring 15 inches by 45 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let $\mathrm { x }$ represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.

• A) \(36,689.54\) in \(^ { 3 }\)
• B) \(1065.03 \mathrm { in } ^ { 3 }\)
• C) \(3565.03 \mathrm { in } ^ { 3 }\)
• D) \(3052.78\) in \(^ { 3 }\)

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Definitions:

Equity Financing

Raising capital through the sale of shares in a company, offering investors ownership interests.