Suppose 27 identical cubes are glued together to form a cubical stack, as illustrated below.

If one of the small cubes is omitted, four distinct shapes are possible. If two of the small cubes are omitted rather than just one, twenty-two distinct shapes are possible (see previously submitted Cubicle Stack at BrainDen.com).

Now, if three of the cubelets are omitted, how many distinct shapes are possible?

## Question

## rocdocmac

Suppose 27 identical cubes are glued together to form a cubical stack, as illustrated below.

If

oneof the small cubes is omitted,fourdistinct shapes are possible. Iftwoof the small cubes are omitted rather than just one,twenty-twodistinct shapes are possible (see previously submittedCubicle Stackat BrainDen.com).Now, if

threeof the cubelets are omitted, how many distinct shapes are possible?## Link to comment

## Share on other sites

## Top Posters For This Question

29

19

4

## Popular Days

Jan 26

7

Jan 19

6

Jan 14

5

Jan 17

4

## Top Posters For This Question

rocdocmac29 postsThalia19 postsMolly Mae4 posts## Popular Days

Jan 26 2018

7 posts

Jan 19 2018

6 posts

Jan 14 2018

5 posts

Jan 17 2018

4 posts

## Posted Images

## 51 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.