You have a 3x3x3 cube. You bore a circular hole, of diameter 1, from the center of the top face to the center of the bottom face. You bore a similar hole from the left face center to the right face center, and another hole from front center to back center. How much material was removed?

(In reply to picture of the center by Charlie)

Here's the POV-Ray script for the picture:

#include "colors.inc"
#include "math.inc"

camera {location <3,2,-7>

direction 2*z look_at <0,0,0>}
 
light_source {<-140,2,-300> rgb <1.0, 1.0, 0.95>*1.5}
light_source {<140,2,-300> rgb <0.9, 0.9, 1.00>*0.7 shadowless}

background {color White}

difference{
box {<1,1,1>,<-1,-1,-1>
     pigment {color Blue*2}
     finish {reflection {.1}}
    
     }    
    
union{
cylinder{<0,0,2>,<0,0,-2>,1}
cylinder{<0,2,0>,<0,-2,0>,1}
cylinder{<2,0,0>,<-2,0,0>,1}     
    
          }     

cutaway_textures}         

 

Posted by Charlie on 2005-03-06 17:11:48