Multiple choice general knowledge math & puzzles

A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many of one sided colored will be there?

  1. 20

  2. 8

  3. 10

  4. 24

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A 4x4x4 cube has 64 small cubes. The cubes with exactly one painted face are those at the center of each face - 6 faces × 4 cubes = 24. Corner cubes have 3 painted faces (8 total), edge cubes have 2 painted faces (24 total), and the inner 8 cubes have no paint.