Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

      (X)                 (1)          (2)         (3)         (4)

For maximum number of cuts it has to be in one cut only, so number of cuts is 49

From first figure to second figure in the first unit of Question Figures both the designs interchange positions.

The shaded designs become white and the white design becomes shaded. Again the three smaller designs i.e., circle, square and hexagon move anticlock-wise along the side of the triangle. The square also rotates through 45°.

According to given question figure ,
we can say that the mirror image always be opposite the original image across the given line. Given image will become opposite in mirror across the given line MN.

Since total number of cubes is hence in the formula we will substitute n = 6
Number of the cubes with 2 faces painted is 6(6 - 2)²
= 6 x 16 = 96