Hi Yoonji,
This is Mr. Rhee. Thank you for telling me that you enjoyed my AP Calculus lectures. I hope you learned alot.
I looked at your attached solution and found one mistake from converting ft^3 to in^3.
1 foot= 12 in (inches).
1 ft^3=1 ft X 1 ft X 1 ft = 12 in X 12 in X 12 in = 1728 in^3 (not 144 in^2)
Hope you resolve your problem.
Best regards,
Mr. Rhee