Grades 7-8 Video Solutions 2022-2022_7-8

Video Transcription

Video Summary

A builder determines the surface area of a single brick by arranging two identical bricks in three formations, yielding areas of 72, 96, and 102. By analyzing the arrangements and labeling the brick faces as A, B, and C, equations are formed: 2A + 4B + 4C = 72, 4A + 2B + 4C = 96, and 4A + 4B + 2C = 102. Summing these gives 10A + 10B + 10C = 270, simplifying to A + B + C = 27. Thus, the original brick’s surface area is 2A + 2B + 2C, yielding an answer of 54.

Keywords

brick surface area

mathematical equations

geometry

brick formations

surface area calculation