Grades 7-8 Video Solutions 2024-2024_7-8

Video Transcription

Video Summary

John needs 18 extra cubes to complete his extended cube structure. The original structure involves attaching a cube to each face of a single cube, totaling six new cubes. To further extend this, he needs to ensure all exterior faces are covered. There are 12 angles where only one additional cube is needed per angle due to shared edges, making up a total of 12 cubes. Additionally, a cube must be added to each of the six protruding faces, resulting in another 6 cubes. In total, 12 (for angles) plus 6 (for protruding faces) equals 18 extra cubes.

Keywords

cube structure

extra cubes

exterior faces

shared edges

protruding faces