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?

3 of the sides had red paint

There are actually five answers required: A through E.

Keep guessing!

a: 0

b: 4

c: 16

d: 20

e: 4

Regarding Derek’s answer:

A – CORRECT

B – INCORRECT

C – INCORRECT

D – INCORRECT

E – INCORRECT

Keep guessing!

b: 8

c: 22

d: 16

e: 8

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.

3 sides = 24

2 sides = 24

Here are the correct answers

From a total of 64 blocks:

a) 0 the most sides painted can be 3.

b) 8 these are the 8 corners.

c) 24 these must be along the edges and not in the corners.

d) 24 these are the 4 middles on each of the 6 faces.

e) 8 these are the insides of the cube.

Great guesses everybody!