Question

A cube is cut parallel to one face by making 10 cuts such that all the resulting pieces are identical. What is the maximum number of identical pieces that can be obtained now by making 11 more cuts in any direction.
Select one:
a. 482
b. 444
c. 466
d. 462

Answer 1

Thus the maximum number of identical pieces are 44.

Option (B) is correct.

Step-by-step explanation:

The cube is cut parallel to one face by making 12 cuts such that all the resulting pieces are identical.

We can make maximum number of identical pieces that can be obtained in two ways.

(1) Cut the cube along AC and BD  we get 11 x 4 =44 triangular shaped identical pieces.

(2) We can obtain square shaped identical pieces by making 12 cuts along the faces PQ and RS as well.

This will result in 11 x 4 = 44.

Here, all the pieces are identical.

Hence these are the two methods to get maximum number of identical pieces