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

question 71

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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Definitions:

Recall

The act of retrieving information or events from the past while lacking a specific cue to help in retrieving the information.

Information

Data that is processed, interpreted, or organized in a way that gives it meaning for the recipient.

Classroom

describes a physical or virtual space where instruction, learning, or teaching activities take place.

Context-dependent Memory

The phenomenon where people are able to recall information better if they are in the same context or environment as they were when they learned the information.