Correct Answer - Option 4 : 8
Given
Edge of cube = 7 cm
Edge of new cube = (7/2) cm
Formula used
Volume of cube = (edge)3
Calculation
Let x is the cube of radius (7/2) cm formed from a cube of edge 7 cm
⇒ 7 × 7 × 7 = x × (7/2) × (7/2) × (7/2)
⇒ (7 × 7 × 7 × 2 × 2 × 2)/(7 × 7 × 7) = x
⇒ x = 8
∴ Number of cubes cut out from a cube of edge 7 cm is 8