Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.

The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the box in terms of its height, x, in inches.


x2 -
x =


Is it possible for the height of the box to be 15 inches?