An Open Box Is to Be Made from a Square $66 \text { inches }$

question 14

Multiple Choice

An open box is to be made from a square piece of cardboard, $66 \text { inches }$ on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V,in terms of x,that represents the volume of the box,use a graphing utility to estimate the dimensions that will maximize its volume.

• A) \(22 ^ { \prime \prime } \times 22 ^ { \prime \prime } \times 11 ^ { \prime \prime }\)
• B) \(44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 11 ^ { \prime \prime }\)
• C) \(44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 22 ^ { \prime \prime }\)
• D) \(33 ^ { \prime \prime } \times 33 ^ { \prime \prime } \times 22 ^ { \prime \prime }\)
• E) \(11 ^ { \prime \prime } \times 11 ^ { \prime \prime } \times 5.5 ^ { \prime \prime }\)

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