Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem23

Levels 9&10 Video Solutions 2014 problem23

Video Transcription

Video Summary

The problem involves determining the maximum number of gray cubes within a larger cube composed of 27 smaller cubes, using two given views. Analyzing visible and hidden positions, the analysis identifies five gray cubes from the visible areas and posits two additional gray cubes could be hidden on the back face and two on the bottom face, out of view in both diagrams. By considering these possible unseen positions, the solution concludes that a maximum of nine gray cubes could exist within the larger cube.

Keywords

gray cubes

larger cube

maximum number

hidden positions

visible areas