What is maximum number of pieces into which a cube can be cut by 13 cuts?

A cube can be cut into 150 number of identical pieces by 13 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 pieces into which a cube can be cut by?

Different combinations can be possible but t will be maximum in (4, 4, 5) cuts. So maximum pieces = (4 + 1) * (4 + 1) * (5 + 1) = 5 * 5 * 6 = 150.

What is maximum number of pieces into which a cube can be cut into 19 cuts?

Solution: Since, equal number of cuts in each direction gives the maximum number of pieces. So, we can split 19 cuts into 6,6 and 7.

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

What is the maximal number of pieces into which a solid cube can be divided by 4 straight cuts?

This the number of pieces you get if you make 4 cuts parallel to each of the 3 pairs of parallel faces. Edit: I was assuming that the pieces remain in their original positions. If restacking is allowed then the answer is 2^12 = 4096.

What is the maximum number of cubes or cuboids can be obtained by making exactly 6 cuts in a solid cube?

As there are 6 such faces, the number of such smaller cubes will be 16*6 = 96. Lastly, the number of cubes having no faces painted can be found by subtracting the sum of the painted cubes from the total number of smaller cubes. Therefore, the required answer is 216 – (8 + 48 + 96) = 64 cubes.

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

What is the maximum number of identical pieces that can be obtained by making 10 cuts on a cube?

For 10 cuts, we can divide it as x = 3, y = 3, z = 4. Any other combination of numbers will result in a lower number of pieces. Hence, we can get maximum of 80 identical pieces.

What is the minimum number of identical pieces that can be obtained now by making 8 cuts in any direction select one a 9 B 13 C 11 D 7?

This will result in, 8 * 4 = 32 pieces. Here, all the pieces are identical. We can obtain square shaped identical pieces by making 9 cuts along the faces PQ and RS. This will result in 8 * 4 = 32 pieces.

How many maximum number of pieces will be obtained when 17 cuts are made on a cube?

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

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.

How many times can a cube be cut into cubes?

If the number of cuts is not multiple of three then cube can never be cut into identical cubes but still it can be cut into the maximum number of identical cuboidal pieces. To maximize such number of pieces we need to split the number of cuts into three parts which are closest.

How do you maximize the number of pieces in a cube?

To maximize such number of pieces we need to split the number of cuts into three parts which are closest. If a cube is cut into n 3 identical cubelets using minimum no. of cuts, after painting all faces of the cube with white color, then answer the following questions.

How many cuts have to be made to get 60 identical pieces?

If we cut twice on same face it becomes 3 identical pieces. If we cute once on one face and another on other face it becomes 4 identical pieces. ∴ minimum 9 cuts have to be made to get 60 identical pieces. Was this answer helpful?

How many pieces can you get from cutting a cake 4 times?

I had read somewhere that the if we cut a cake four times (Two horizontal cuts and two vertical cuts, in whichever order), the maximum number of pieces we can get is 27. No solution was given there. I am unable to figure out how it can be done.