What is the maximum number of identical pieces a cube can be cut 4 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 5 cuts?

For obtaining identical pieces, cuts must be made parallel to 3 planes of the cube. Let we made x, y, z cuts along all three planes such that (x+1)(y+1)(z+1) = t is maximum & x + y + z = 13. Different combinations can be possible but t will be maximum in (4, 4, 5) cuts.

What is the maximum number of identical pieces a cube can be cut into 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 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.

How many pieces will you get if you make 4 cuts along the length and 4 cuts along the breadth of a solid cube?

We get total 4 pieces or 4 parts of the initial big cube. Similarly, another cut parallel to both the previous cuts (z-axis) will further divide these 4 pieces into two pieces each, thus making the total pieces as 8.

How do you solve a cube cut question?

Shortcut Formulae

1. For a cube of side n*n*n painted on all sides which is uniformly cut into smaller cubes of dimension 1*1*1,
2. Number of cubes with 0 side painted= (n-2) ^3.
3. Number of cubes with 1 sides painted =6(n – 2) ^2.
4. Number of cubes with 2 sides painted= 12(n-2)
5. Number of cubes with 3 sidess painted= 8(always)

How do you solve a cube reasoning?

Starts here10:14Cubes And Dice Problems | Advanced Example 6 to 10 – YouTubeYouTube

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

Now, the values of l, m and n can be found as follows. 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 make 4 cuboid from a cube?

The solution: You can do it in a minimum of 6 cuts. Each face of the center cube must be cut once, and you can’t possibly cut 2 faces of the same cube at the same time.