Grades 11-12 Video Solutions 2024-2024_11-12

Video Transcription

Video Summary

John needs a minimum of 10 black cubes to construct a 3x3x3 cube with half of the 54 surface faces black and half white. Each corner cube, having 3 outward faces, contributes significantly to the black surface area. By using all 8 corners as black cubes, alongside 1 non-corner edge cube and 1 center face cube, John achieves the desired balance of 27 black and 27 white surface faces while minimizing the number of black units used. This configuration efficiently maximizes black surface coverage with the least number of black cubes.

Keywords

3x3x3 cube

black cubes

surface faces

corner cubes

cube construction