# What is the maximum number of identical pieces that can be obtained by making 10 cuts on a cube 1 point?

## What is the maximum number of identical pieces that can be obtained by making 10 cuts on a cube 1 point?

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 maximum number of pieces that can be cut into with 19 cuts?

Example 2: Find the maximum number of smaller pieces with 19 cuts on a cube? 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.

Can you find a function that gives the maximum number of pieces from N cuts?

Theorem: The maximum possible number of pieces with n such cuts is exactly (n2 + n + 2)/2. We prove this theorem by induction on n. The base case says that we have (02 + 0 + 2)/2 = 1 piece with no cuts, which is true.

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### What is the maximum number of parts that can be obtained from cutting a circular cake using 3 straight cuts?

If you make 3 cuts along the radius of the pie (from the center to the outer edge), you will have 3 Pieces. If you make 3 cuts along the diameter of the pie, you will have 6 pieces.

What is the maximum number of identical pieces that can be obtained by making 5 cuts on a cube?

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 pieces that can be obtained with 20 cuts of the cube without putting the pieces one above another?

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 11 cuts?

Let’s say, 11 cuts along x-axis and 1 cut along y. The total number of pieces formed is (11+1)*(1+1) = 24.

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What is the maximum number of identical pieces into which a cube can be divided by 12 cuts?

What is the maximum number of pieces with 10 cuts?

Here’s the solution for Brain Out Level 83 What is the maximum number of pieces that a watermelon can be cut into with 10 cuts. So the answer is 1024.

### What is the maximum number of pieces that a pizza can be cut into by 7 knife strokes?

and so, for 7 cuts,f(7)=(82)+1=29.

What is the maximum number of pieces that can be made with 3 cuts?

When doing three cuts things start to get interesting. If the three cuts all go through a common point on the pizza top, then only six pieces result. But if you move your knife slightly before doing the final third cut, then you can get seven pieces. That is, P(3) = 7.

What is the maximum number of parts a circle can be divided by drawing four straight lines?

eleven parts
Four lines cut the circle into eleven parts.

## How many pieces does it take to cut a sphere?

When you cut the sphere by three perpendicular planes passing through the centre of the sphere, you get 8 pieces. = (5/4)πr^2. What are some simple steps I can take to protect my privacy online?

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How do you find the maximum number of pieces from consecutive cuts?

The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer’s Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = ƒ(n), the nth cut must be considered; the number of pieces before the last cut is ƒ(n − 1), while the number of pieces added by the last cut is n.

How many slices can be made with 4 straight cuts?

A maximum number of 16 slices is attainable with 4 straight cuts.Assuming that after each slice cut we can put all slice on top of each other. solution 1: (Assuming that after each slice cut we can not put all slice on top of each other.)

### How many pieces of pizza can you make with one cut?

With n cuts of the pizza, you can make a maximum of (n^2 + n + 2)/2 pieces , since after the nth cut you can make up to n new pieces, making sure every new cut slices through every previous cut and you never cut through the intersection point of two previous cuts. (In other words, after 1 cut you can make 1 new piece.