SOLUTION: Cody built a pyramid of Lego. He rectangular Lego that were four bumps by two bumps. He started with one Lego in the top level. Underneath that he put in as many Lego as needed

Algebra.Com
Question 993938: Cody built a pyramid of Lego. He rectangular Lego that were four bumps by two bumps. He started with one Lego in the top level. Underneath that he put in as many Lego as needed to leave one row of bumps all the way around the outside on each level. He was able to make ten layers on his pyramid before he ran out of Lego. The inside of the pyramid is completely filled in with Lego, many which are not visible to someone looking at the top of the pyramid.
a. How many Lego are in the Pyramid?
b. How many bumps total on all levels are visible on the outside of the pyramid?
c. If Cody had an infinite supply of Lego, how many total bumps on all levels would be visible in a pyramid with "n" layers of Lego?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Re: part c.

The number of exposed bumps on the nth level is 8n. Hence the total number of exposed bumps on an -level pyramid is:



John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS

the ratio of the number of Grace's Lego bricks to the number of Bobby's Lego bricks was... (answered by jojo14344)
connor has 12 lego sets. he gets two every month for good behavior at school. how many... (answered by ewatrrr)
A Lego Robotics Workshop is being conducted at SEECS. Robots are constructed with NXT... (answered by ewatrrr)
A Lego set has 27 cubes each of edge 1cm. A child puts them together to make one large... (answered by josmiceli)
sally has f bags of lego in each are 22 blocks .sam has 9 lego blocks spare so gives them (answered by ankor@dixie-net.com)
"I'm thinking of creating three layers: two that have the same general shape and are... (answered by ikleyn)
Cody has had problems starting his two cars during the winter months. He decided to... (answered by stanbon)
The Great Pyramid at Gizeh was originally 483 feet tall, and it had a square base that... (answered by solver91311)
Very confused with this problem, any help would be appreciated! Cody leaves his... (answered by ankor@dixie-net.com)