Grades 5-6 Video Solutions 2021-video 2021 5-6/28

Video Transcription

Video Summary

The problem involves finding how many small cubes, resulting from cutting a large cube with 7 cm edges into 1 cm cubes, have at least one red line from diagonals drawn on each face of the large cube. By calculating, each of the six faces has two diagonals, resulting in overlaps and double or triple counting at face centers and vertices, respectively. After accounting for these overlaps, there are 62 small cubes with at least one red line, determined by calculating the total diagonal lines (84) and subtracting double-counted (6) and triple-counted (16) cubes. The final answer is 62.

Keywords

cube

diagonals

overlaps

calculation

small cubes