A box is formed by cutting squares from the corners of a rectangular piece of cardboard. The volume of the box is found by the equation V(h)=h(16-2h)(10-2h) where his a side of the square cutout. Which is the reasonable domain for this situation? a. (0,5)
b. (0,10)
c. (0,8)
d. (0,infinity)

A. (0, 5)

Step-by-step explanation:

Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:

(1)

(2)

(3)

From (1), (2), (3) we find that:

(1):

(2):

(3):

We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:

In other words, the reasonable domain for this situation is A.