Grades 5-6 Video Solutions 2015-Level 5&6 Video Solutions 2015 problem30

Level 5&6 Video Solutions 2015 problem30

Video Transcription

Video Summary

Basil constructed a cube made of 1x1x1 smaller cubes, with the larger cube having a side length of 4. He painted 3 faces red and the other 3 blue, ensuring no small cube had 3 red faces. To find the number of smaller cubes with both red and blue faces, the problem is analyzed through the edges where different colors meet. Each edge between red and blue faces contains mixed-color cubes. There are 8 edges total, with 1 small cube on each corner and 2 additional cubes per edge. In total, 24 small cubes have both red and blue faces.

Keywords

cube

painting

red and blue faces

edge analysis

smaller cubes