Pairs of adjacent sides of a big cube are coloured with red, yellow and brown…
2021
Pairs of adjacent sides of a big cube are coloured with red, yellow and brown colour. Now this big cube is divided into 64 small equal cubes. How many small cubes will have 3 faces painted with different colours?
- A.
0
- B.
6
- C.
2
- D.
8
Attempted by 23 students.
Show answer & explanation
Correct answer: C
1. Since the cube is divided into 64 small cubes, $n^3 = 64$, so $n=4$. 2. Cubes with 3 faces painted are found at the corners of the big cube. There are 8 corners in total. 3. The coloring scheme paints adjacent sides in pairs (Red, Yellow, Brown). Analyzing the cube layout, only 2 corners exist where the Red, Yellow, and Brown faces intersect. Final Answer: Option C