Math Forum - Problem of the Week


Building a House

Here is a "house" that I built using cubes.

Questions:
What is the largest number of cubes that I could have used to make my house?
 
What is the smallest number of cubes that I could have used to make my house?
Use this Java applet from the Freudenthal Institute to help you think about the possible arrangements:

Building houses with side views
http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html


© 1994-2010 The Math Forum http://mathforum.org/pow/