The formula for the volume of a rectangular prism is:
V = l x w x h
where V is the volume, l is the length, w is the width, and h is the height.
We know that the volume of Caleigh's jewelry box is 14 cubic inches, and the area of the base is 7 square inches. Since the base of the box is a rectangle, we can use the formula for the area of a rectangle to find the length and width of the base:
A = l x w
7 = l x w
We don't know the exact values of l and w, but we do know that their product is 7.
Now we can use the formula for the volume of a rectangular prism to find the height:
14 = l x w x h
We know that l x w = 7, so we can substitute 7 for l x w:
14 = 7 x h
Dividing both sides by 7 gives:
h = 2
Therefore, the height of Caleigh's jewelry box is 2 inches.