SOLUTION: A “4 x 4 x 4” cube is made from 32 white unit cubes and 32 black unit cubes. What is the largest possible percent of black surface area?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A “4 x 4 x 4” cube is made from 32 white unit cubes and 32 black unit cubes. What is the largest possible percent of black surface area?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 254475: A “4 x 4 x 4” cube is made from 32 white unit cubes and 32 black unit cubes.
What is the largest possible percent of black surface area?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
4*4*4=64
If top layer and bottom layer were all black we would maximize black surface
16 black on top and 16 on bottom=32 cubes
now how many surfaces squares are black
32
plus 8 on each of 4 sides times 4=32 more
64 are black
White are 32 =8 on each of 4 sides but not top and bottom