An Open Box Is to Be Constructed from a Piece $15$

question 30

Essay

An open box is to be constructed from a piece of sheet metal $15$ in by $25$ in by cutting squares of length $x$ from each corner and folding up the sides.
(a) Express the volume $V$ of the box as a function of
$x$ .
(b) What is the domain of $V$ ?
(c) Draw a graph of the function $V$ and use it to estimate the maximum volume for the box.

---

Definitions:

Presenting Facts

The act of providing verifiable and objective information to an audience without the inclusion of personal opinions or biases.

Crisis Response

Actions taken to manage and mitigate the effects of an emergency or critical situation.

Important Announcement

An important announcement is a message that is crucial and needs to be communicated to a wide audience due to its significance.

Extemporaneous Delivery

A method of speaking where the delivery is improvised around a structured outline or notes, often appearing more natural and engaging.