# Cubed Cubes

Last week I painted a one-foot cube block of wood using red paint. Yesterday, I decided to cut this cube into smaller blocks, each 3 inches wide. How many of these smaller cubes had red paint on:

a) 4 of the sides?
b) 3 of the sides?
c) 2 of the sides?
d) 1 of the sides?
e) 0 of the sides?

### 8 guesses to Cubed Cubes

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• 3 of the sides had red paint

• Dude

There are actually five answers required: A through E.

Keep guessing!

• a: 0
b: 4
c: 16
d: 20
e: 4

• Dude

A – CORRECT
B – INCORRECT
C – INCORRECT
D – INCORRECT
E – INCORRECT

Keep guessing!

• b: 8
c: 22
d: 16
e: 8

• Dude

So far, we have:

A CORRECT – 0 – The most sides painted can be three.
B CORRECT – 8 – These are the eight corners.
C INCORRECT
D INCORRECT
E CORRECT – 8 – These are the insides of the cube.

• Geoff

3 sides = 24
2 sides = 24

• Dude