Question

How do I maximize the volume of an open box with height h and square base side of x?

A) V = x²
B) V = 2xh
C) V = x²h
D) V = 4xh

Answer 1

To maximize the volume of an open box with height h and square base side of x, the formula is V = x²h.

Step-by-step explanation:

To maximize the volume of an open box with height h and square base side of x, we need to consider the formula for the volume of a rectangular prism which is V = lwh, where l is the length, w is the width, and h is the height.

In this case, the length and width are both x (since it is a square base), and the height is h. So the formula becomes V = x * x * h = x²h.

Therefore, the correct answer is C) V = x²h.