Grades 11-12 Video Solutions 2014-11&12 Video Solutions 2014 part2

Video Transcription

Video Summary

The video addresses several complex math problems involving geometry, algebra, and reasoning. Notable solutions include determining the edge dimension that, when increased, maximizes the volume of a rectangular box, where increasing dimension A results in the largest volume increase. Another solution involves a soccer tournament where Team D scores one point, deduced from the given scenario of other teams' scores and constraints. The video also delves into geometric reasoning, such as determining the radius of a large circle given parameters of concentric circles and proportions; ultimately, the radius of the big circle was calculated as 18. Further discussions include the calculation of the percentage of water in cream cheese based on fat content percentages, which was found to be 62.5%. Intricate reasoning also supports the vertices' numbering of a cube so that each face sums up to the same number, with a specific focus identifying the value at a particular vertex. Lastly, a function problem resolves to finding that the value of A is 3 through evaluation of function compositions. Overall, the video showcases adept problem-solving skills in addressing math challenges.

Keywords

geometry

algebra

reasoning

volume maximization

soccer tournament

concentric circles

cream cheese water content

function composition