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.) However, even more slices are possible if the cuts do not all intersect.
What is the maximum number of pieces that can be obtained from a pizza by making 7 cuts with a knife?
In your case, f(7)=12(49+7+2)=12(58)=29. and so, for 7 cuts,f(7)=(82)+1=29.
What is the maximum number of pieces you will get if you cut a round pizza?
If you cut a circle (or a pizza) with ONE straight line you get a maximum of TWO bits. If you cut it with TWO straight lines you get a maximum of FOUR bits.
How many pieces should a pizza be cut into?
Small pizzas average between 8 and 10 inches in diameter and will yield about six slices. Medium pizzas run 12 inches in diameter and will give you about eight slices. Large pizzas are 14 inches in diameter and will offer approximately 10 slices.
How do you cut a pizza into 12 pieces with 4 lines?
The pizza should be divided into four equal strips. Slice two vertical cuts from the bottom to the top of the pizza, dividing it equally into three sections. The completed grid, when cut, produces 12 fairly equal slices, although a round pizza will have smaller slices along the edges because of the curve of the pizza.
How many pieces will be formed with 6 cuts of a pizza if all cuts go through the center?
If I don’t have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area. Theoretically I could cut the pizza into a total of 22 pieces using 6 cuts, but more often than not none of them would be of equal area.
What is the maximum number of pieces a watermelon?
Brain Out Level 83 Answer, What is the maximum number of pieces that a watermelon can be cut into with 10 cuts.
Do large pizzas have more slices?
If you order a square-cut pizza, you’ll get four squares from a small, 16 from medium, large, and extra-large sizes. If you order a double-cut pizza, you’ll have twice as many slices per pizza.
Do all pizzas have 8 slices?
The standard round pizza has eight slices, allowing for a reasonable distribution of two slices per person in a group of four. But, sometimes, there are only six slices in a pizza pie. Large, round pizzas such as New York-style pies call for eight slices, but what about medium and personal-sized pizzas?
Can you cut a pizza into 12 slices?
How to calculate how many pieces of pizza can be cut?
Let us try to cut the pizza into as many pieces as possible. Put p n as the number of pieces after n cuts. Then p 0 = 1 and p 1 = 2. Next p 3 = 4 if we cut across the first cut. For a general n, we cut across all n lines and get p n = n + p n − 1. Hence p n = 1 + ∑ k = 1 n p k = 1 + n ( n + 1) 2. Thank you for your answer.
How many pieces of equal area can you cut?
If I don’t have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area. Theoretically I could cut the pizza into a total of 22 pieces using 6 cuts, but more often than not none of them would be of equal area.
What is the maximum number of pieces after n cuts?
Putting this together, the maximum number of pieces after n cuts is at most 1 + 1 + 2 + 3 + … + n = 1 + n(n + 1) / 2, or 29 pieces after 7 cuts.
What’s the maximum number of pieces of equal area?
By the Intermediate Value Theorem, there exists some value d for which the 8 edge pieces adjacent to the corners and the inside pieces all have equal area, which is a total of ( n 2 − 1) 2 + 8 pieces. This overtakes the naive solution of 2 n at n = 8. It gives 17 pieces for 8 cuts, 24 pieces for 10 cuts, 33 pieces for 12 cuts, etc.
