An Open Box Is to Be Made from a Square $V ( x ) = - 4 x ^ { 3 } + 66 x ^ { 2 } - 33 x$

question 21

Multiple Choice

An open box is to be made from a square piece of cardboard,33 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .Determine the function,V,in terms of x,that represents the volume of the box.

• A) \(V ( x ) = - 4 x ^ { 3 } + 66 x ^ { 2 } - 33 x\)
• B) \(V ( x ) = - 2 x ^ { 3 } + 33 x ^ { 2 }\)
• C) \(V ( x ) = 4 x ^ { 3 } - 132 x ^ { 2 } + 1089 x\)
• D) \(V ( x ) = - 4 x ^ { 3 } + 66 x ^ { 2 }\)
• E) \(V ( x ) = 4 x ^ { 3 } - 66 x ^ { 2 } + 33 x\)

---

Definitions:

Initial

Pertaining to the beginning or first stage of a process or series of events.

Conformity to Norms

The act of aligning behaviors, attitudes, and practices with the established standards or expectations of a group or society.

Team Performance

The level of effectiveness and efficiency with which a team achieves its goals and objectives.

Norming Stage

The third stage of team development, in which team members resolve conflicts, develop cohesion, and start to work more efficiently towards their objectives with established norms and structures.