Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

AoPS Wiki:Problem of the Day/June 22, 2011

< AoPS Wiki:Problem of the Day
Revision as of 19:54, 21 June 2011 by Btilm305 (talk | contribs) (new problem)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A tower of cubes has a height of infinity, and the tower goes on infinitely. The first cube has a side length of 3 feet. Every cube after that one has a side length that is $\frac{5}{7}$ as long as the side length of the cube beneath it. What is the total volume of the entire structure?

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki:Problem_of_the_Day/June_22,_2011&oldid=39849"