IKMC 2027 - Grades 7-8 - Self-study SET 13 - Thematic Batch 3 Question 4

A 1 × 1 × 1 cube is cut from each corner of a 4 × 4 × 4 cube. The picture shows the cube after just one corner has been removed. How many faces does the final solid have?

Editorial convention: A face is a maximal connected planar boundary region; the notched original faces each count once.