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:

Specific Behaviors

Refers to distinct actions or reactions of individuals or groups in response to external stimuli or situations.

Sherman Act

A foundational antitrust law enacted in 1890 to combat anti-competitive practices, reduce market monopolies, and preserve free competition in the United States economy.

Prohibited

Forbidden by law or policy.

Sherman Act

A foundational antitrust law in the United States enacted in 1890 that prohibits monopolistic practices and promotes competition.