An Open Rectangular Box Having a Volume of Is

question 182

Essay

An open rectangular box having a volume of is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that Minimize f(x, y)
x = __________
y = __________
z = __________

---

Definitions:

Job Performance

The extent to which an employee carries out their job duties and responsibilities effectively.

Role Stress

The stress experienced by an individual due to expectations and demands associated with their role in the workplace or society.

Commitment

The condition or characteristic of being fully committed to a cause, activity, or profession; complete and sincere dedication.

Motivational Trait

An inherent characteristic that drives an individual to act or behave in a way that leads to the achievement of personal goals.