Question

A cube 4 inches on each side is painted red and cut into 64 1-inch cubes. How many 1-inch cubes are painted red on two faces only?

• A. 8
• B. 12
• C. 16
• D. 24
• E. 32

Answer 1

The correct option is D 24

• The cube is divided into $64$ 1-inch cubes
• The cubes from all 8 corners will have red paint on $3$ faces
• The cubes from edges except corner cubes have red paint on $2$ faces
• The number of cubes which has red on two faces is $(8-2)\times 4=24$