A cube is cut parallel to one face by making 12 cuts such that all the resulting pieces are identical. What is the maximum number of identical pieces that can be obtained now by making 2 more cuts in any direction?
Answers
Answer
Maximum number of identical pieces = 48
Explanation
The figure associated with answer shows a cube .
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 12 x 4 =48 triangular shaped identical pieces.
2) Cut the cube along PQ and RS we get 12 x 4 =48 square shaped identical pieces.
So these are the two method to get maximum number of identical pieces
The given figure shows a cube
The cube is cut parallel to one face by making 12 cuts such that all the resulting pieces are identical.
We can device maximum number of identical pieces that can be obtained in two ways.
Cut the cube along AC and BD the triangular pieces are identical.
Cut the cube along PQ and RS we get and the square shaped pieces are identical.
These two shapes will be equal to 12 x 4 = 48 pieces or in other way we have
So these are the two method to get maximum number of identical pieces
A cube has 6 faces
, 12 edges and 8 vertices.
It is cut parallel to one face by making 12 cuts by which all pieces are identical.
So maximum number of identical pieces to be obtained is
12 x 2 x 2 = 48 pieces.