A large cube made from 125 smaller cubes, 5 by 5 by 5, is 'perforated' by removing cubes.
Any cube may be removed so imagine some uncoloured, transparent cubes propping up anything that needs it.
If a 'perforated cube' has the three views (projections) below, what is the most and the least cubes possible to make a shape that has these three projections ? In other words what could be the most and the least cubes left from the original 125 ?
To help you with this task you can, if you want, use a fantastic interactive applet that allows you to build the shape in 3D then rotate it to see the 2D views. CLICK HERE TO OPEN THE INTERACTIVE APPLET. Make sure you change it to a 5 x 5 grid by clicking the up arrow before you begin. You don't have to use the applet but it's there if you'll find it useful.
What do I want you to submit?
Your answers to the two questions above and a 3D sketch of each of your solutions. Doing a 'print screen' of your 3D view if you used the interactive applet is fine.
Due Monday 27th Feb
Best of luck!