What is the maximum possible number of identical pieces a cube can be cut into by 9 cuts?

R D Sharma – Mathematics 9 First cut will divide the cube in 2 parts. The second cut along perpendicular direction will double the number of parts to 4, now the 3rd cut will also be in perpendicular direction which will double the 4 parts to 8. So totally 8 cubes can be formed with 3 cuts.

What is the maximum possible number of pieces into which a cube can be cut by 20 cuts?

For maximum number of pieces cuts has to be 6, 7 and 7 and maximum number of pieces is (6 + 1)(7 + 1)(7 + 1) = 7 x 8 x 8 = 448. Minimum number of pieces is 20 + 1 = 21.

What is the maximum possible number of identical pieces a cube can be cut into by 6 cuts?

Explanation: The 3rd cut along perpendicular direction will double the 3 parts to 6 in similar way 4th cut will double to 12 parts . So, total 12 cubes can be formed.

What is the maximum possible number of identical pieces into which a cube can be cut by 3 cuts?

So totally 8 cubes can be formed with 3 cuts. All the 3 direction should be perpendicular to each other. Note that 1 cut = 2 parts of cube, 2 cut = 3 parts and so on.

What is the maximum number of identical pieces a cube can be cut into by 37 cuts select one?

Step-by-step explanation: We will be able to cut up a cube into (maximally *) 8^5 = 2^15 = 32,768 smaller cubes of identical size.

What is the maximum number of pieces that can be obtained with 17 cuts?

What’s the maximum number of pieces that can be obtained with 17 cuts without putting the pieces one above another? Here, we can split 17 as 5, 6 and 6 which is the most equally distributed case. So the number of pieces will be (5 + 1) (6 +1) (6 + 1) = 294.

How many cut will be required if a cube is divided into 120 identical pieces?

Therefore, the number of cuts required if a cube is divided into ‘120’ identical pieces is 12.

What is the minimum number of cuts required to cut a cube into 8 identical pieces select one a 4 b2 C 5 D 3?

Three cuts from three different dimensions are required to cut cube into 8 identical pices.