Question

You purchase a set of 100 cube-shaped miniature magnets each with an edge length of 1/8th inch . You arange the cubes to form larger cubes, each one with a different edge length . How many cubes can you form? What is their total volume

Answer 1

You can only form perfect squares from 1-100. 
1^2 = 1 
2^2 = 4 
3^2 = 9 
4^2 = 16 
5^2 = 25 
6^2 = 36 
7^2 = 49 
8^2 = 64 
9^2 = 81 
10^2 = 100 

You can form 11 squares. Volume is around 0.00195 in^3.