You are Here: Home >< Maths

# Optimal Pie Cutting

Announcements Posted on
Would YOU be put off a uni with a high crime rate? First 50 to have their say get a £5 Amazon voucher! 27-10-2016
1. If a rectangular pie is cut by h horizontal cuts and v vertical cuts, the total number of pieces obtained will be (h+1)(v+1).

I have no idea how to reach that solution. Could someone please help me with explaining why that is true?
2. draw it out and it will help. imagine h=1, that means with 1 cut you will have created 2 pieces
the same goes for v=1. If you cut the pie in v one time, you will have also created 2 pieces (or v+1 pieces)
You can try it out with different values of v and h to get your head round it; and drawing it out would help
This means that the number of pieces= number of cuts + 1
ie. v+1 and h+1

Now finding out the number of pieces is like working out an area, so you multiply the number of pieces on the h "axis" by those on the v axis. ie. (h+1)(v+1)
3. (Original post by Nayzar)
draw it out and it will help. imagine h=1, that means with 1 cut you will have created 2 pieces
the same goes for v=1. If you cut the pie in v one time, you will have also created 2 pieces (or v+1 pieces)
You can try it out with different values of v and h to get your head round it; and drawing it out would help
This means that the number of pieces= number of cuts + 1
ie. v+1 and h+1

Now finding out the number of pieces is like working out an area, so you multiply the number of pieces on the h "axis" by those on the v axis. ie. (h+1)(v+1)
Ah, got it now. Thank you!

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: June 9, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

Find out here

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams