#### Answer

6670 inches

#### Work Step by Step

1. Translate: "The height is 50.5 inches more than 10 times the length of a side of its square base"
height = 50.5 + 10l
2. If the sum of the height and length is 7327, then we write the equation
l + 50.5 + 10l = 7327
3. Solve for l.
Combine like terms:
11l + 50.5 = 7327
Subtract 50.5 from both sides:
11l = 7276.5
Divide both sides by 11:
l = 661.5
4. Substitute l in the equation for height:
h = 55 + 10(661.5)
h = 6670