GAUSS8 2021 Problem 24

Jonas builds a large n \times n \times n cube using 1 \times 1 \times 1 cubes each having the net shown. What is the smallest value of n for which the sum of the exterior faces of the n \times n \times n cube can be greater than 1500 ?
gauss8 2021 24

Answer Choices
A. 9
B. 11
C. 12
D. 13
E. 16