A few days ago
one last question…for any math whizzes out there. thanks for helping!?
i got the information: “Picture a wire grid of cubes, 6 cubes on an edge. How many different cubes of all sizes are in this 6 by 6 by 6 grid of cubes? Count all the 1 by 1 by 1 cubes, all the 2 by 2 by 2 cubes, and so on. Don’t forget to count the entire 6 by 6 by 6 cube. Look to patterns for help.” this is kind of similar to my previous question….but this one i didn’t even know how to do and i really need to go to sleep soon and i still need to study so help would be much appreciated! thanks!!!
Top 2 Answers
A few days ago
Favorite Answer
If you draw a sketch of this mega-cube, and then start to look at the 1×1, 2×2, 3×3, etc. squares along one face, you will see that a pattern develops. There have to be 6x6x6=216 cubes 1×1. Then there will be 5x5x5=125 cubes 2×2, and so on. You can take it from there. The total is 441 in all.
0
A few days ago
1x1x1 cubes: 6^3 = 216
2x2x2 cubes: 5^3 = 125 (after all, there are 5 each way)
3x3x3 cubes: 4^3 = 64
etc etc.
Total 216+125+64+27+8+1 = 441 = 21^2 (by a famous formula)
0
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles