AMC 8 2008 Problem 16
Source:
July 22, 2011
geometry3D geometryratio
Problem Statement
A shape is created by joining seven unit cubes, as shown. What is the ratio of the volume in cubic units to the surface area in square units?[asy]
import three;
defaultpen(linewidth(0.8));
real r=0.5;
currentprojection=orthographic(1,1/2,1/4);
draw(unitcube, white, thick(), nolight);
draw(shift(1,0,0)*unitcube, white, thick(), nolight);
draw(shift(1,-1,0)*unitcube, white, thick(), nolight);
draw(shift(1,0,-1)*unitcube, white, thick(), nolight);
draw(shift(2,0,0)*unitcube, white, thick(), nolight);
draw(shift(1,1,0)*unitcube, white, thick(), nolight);
draw(shift(1,0,1)*unitcube, white, thick(), nolight);[/asy]