How many times in total must a solid cube of 4 cm be cut to obtain small cubes of 1 cm?

Given: A solid cube of 4 cm be cut to obtain small cubes of 1 cm.

Each small cube has a side length of 1 cm, so the total number of small cubes formed is:

4³= 64

To divide a 4 cm cube into 1 cm cubes, we must make cuts along each dimension (length, width, and height):

Along one dimension: To divide a 4 cm side into 1 cm cubes, we need 3 cuts (since 4 sections require 3 cuts).

Along the second dimension: Again, 3 cuts are needed.

Along the third dimension: Another 3 cuts are needed.

Total cuts:

3 + 3 + 3 = 9

So, the correct answer is 9 cuts.

Thus, correct option is (b).

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