a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
<h3>What is volume?</h3>
Volume is the three-dimensional space bounded by a boundary or inhabited by an item.
The given data in the problem is;
L is the length of the box= 24-inch
V is the volume = 2,880 cubic inches.W
W is the width of the box
h is the height
Let the side of the box is x then volume V is found as;
V=LWh
2880 = 24(x)(x - 7)
2880 = 24x² - 168x
Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
The value of x obtained from the equation is 15.
Hence yes, it is possible for the height of the box to be 15 inches
To learn more about the volume refer to the link;
brainly.com/question/1578538