Multiple choice softskills creativity

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 will be there with two sided colour?

  1. 24

  2. 8

  3. 16

  4. 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a 4-inch cube, each of the 12 edges has 4 cubes. Corner cubes have 3 painted faces (8 total). Edge cubes between corners have exactly 2 painted faces. Each edge has 2 such cubes (4-2 corners = 2). Total = 12 edges × 2 = 24 cubes with exactly 2 painted faces.

AI explanation

A 4-inch cube cut into 1-inch cubes yields 64 small cubes total. Cubes with exactly two painted sides are the edge cubes that aren't at a corner — each of the 12 edges of the large cube has 2 such non-corner edge cubes (since each edge is 4 cubes long, minus the 2 corners), giving 12 × 2 = 24 cubes with two blue sides.

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