Dice Cubes

Geometry Level 3

How many of these nets make a typical 6-sided dice correctly?

4 3 1 2

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4 solutions

Lew Sterling Jr
Sep 30, 2014

There were three dice nets that made dice (from left to right) are: 123546, 264315, and 643251. However, only one of them was a correctly numbered dice, and that was 653124. The funny trick was to actually get each pair of opposite sides adding up to 7 (6 + 1, 5 + 2, and 3 + 4). So, that dice net is the only dice net that correctly created a dice.

You should clarify in the question what a "correct dice" is. That is not a standard term.

Calvin Lin Staff - 6 years, 8 months ago

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exactly!! the question is not in appropriate language @Llewellyn Sterling !!

A Former Brilliant Member - 6 years, 8 months ago

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Not everyone can answering everything right. Also, how about the 19 or 20 people who actually got this problem correct?

Lew Sterling Jr - 6 years, 8 months ago

There are some questions are suppose to trick the mind and make you think harder, so...

Lew Sterling Jr - 6 years, 7 months ago

How many nets make a dice correctly?

Lew Sterling Jr - 6 years, 8 months ago

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I rewrote it slightly, and I believe it is somewhat clearer. I don't want to give away the fact that "opposite sides add up to 7", but we might have to if people get confused by it.

Calvin Lin Staff - 6 years, 8 months ago

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@Calvin Lin Well, it did confuse me. But I think 'typical dice' makes it clear that opposite sides add up to give 7. I'll be careful next time.

Abhishek Gupta - 6 years, 8 months ago

@Calvin Lin Really? Typically? How did this question stump you?

Lew Sterling Jr - 6 years, 8 months ago

@Calvin Lin I did get confused and clicked 4 even though I was getting intuition to check the numbers.

Aditya Mishra - 6 years, 7 months ago

i got it correct........ used the same trick.......7

PUSHPESH KUMAR - 6 years, 8 months ago

ahh typica dice, i see why 1 that must suppose 3.

Alf-archie Sangkula - 6 years, 8 months ago

Well, how can I find out which are opposite sides?

Navho Sarker - 6 years, 8 months ago
Manjunath Munna
Oct 9, 2014

the opposite sided numbers should be 2/5,...3/4...1/6.....just check for it.......for ex,if 2 and 5 are on adjacent sides...then its not a typical dice...

Prasuu Prasanth
Oct 8, 2014

after making dice we should check that the sum of opposite sides must be7

I didn't understand what the question was asking. I thought it was asking how many of these figures fold up into a 6 sided dice

Zach Clement - 6 years, 8 months ago

i donot undrstnd da qun

Umar Habib - 6 years, 8 months ago
Antonio Fanari
Oct 10, 2014

The sum of opposite sides must be 7, and only 1 pattern satisfy this vinculus: the last at bottom right

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