# Brain Teaser: Dr. Nasty’s Giant Cube

Here is anoth­er mind-ben­der cre­at­ed by Wes Car­roll for the Sharp­Brains readers.

Pre­sent­ing …
Dr. Nasty’s Giant Cube

Dif­fi­cul­ty: HARDER
Type: HYBRID (Logic/Spatial)

Ques­tion:
The dia­bol­i­cal Dr. Nasty has turned his Growth Ray on a per­fect cube that used to mea­sure one foot on a side. The new larg­er cube has twice the sur­face area of the orig­i­nal. Find the vol­ume of the larg­er cube.

Click to read the Solu­tion and Expla­na­tion.

Posted in

1. Masa on April 26, 2007 at 10:22

Damn, this is propably the eas­i­est puz­zle you have ever post­ed here.

2. Caroline on April 26, 2007 at 11:33

Masa, I’m glad to hear you’re sharp enough to get this one so quick­ly! Not every­one else has. We’ll post anoth­er one tomor­row — come back and see how you do!

3. Sandman on May 2, 2007 at 12:21

I don’t like the expla­na­tion beca­sue it relies on rules of thumb. It’s simlple to go to the fun­da­men­tal equa­tions for SA and V. Each side is 1 X 1. Times 6 sides = 6. Dou­ble that is 12. Solve for side length gives Ã¢Ë†Å¡2. V = side length cubed. 2*Ã¢Ë†Å¡2.

4. Caroline on May 7, 2007 at 9:20

Sand­man,

Thanks for anoth­er, very valid explanation!

5. r on September 6, 2007 at 6:54

gig­gi­ty.

6. Alana on October 16, 2007 at 9:55

It is annoy­ing to have to down­load the answers and hints to Word. Can’t you make it part of the website?

7. Alvaro on October 16, 2007 at 10:20

Hel­lo Alana, we stopped using this Word sys­tem to dis­play answers, giv­en feed­back like yours. The answers to most teasers are now eas­i­er to find. Thanks.

8. Beck on November 7, 2007 at 11:15

To use the basic vol­ume equa­tion V = H x L x W,

V = Ã¢Ë†Å¡2 x Ã¢Ë†Å¡2 x Ã¢Ë†Å¡2

9. Sheri on December 6, 2007 at 6:38

I agree with Alana, it is very annoy­ing to down­load the hints and answers and usu­al­ly I don’t. It would be much bet­ter if you could just click and read!!

10. Alvaro on December 6, 2007 at 9:17

Hel­lo Sheri, OK, let us think how to make it eas­i­er to check the answer. Thanks for the feedback.

11. Mitch on January 6, 2008 at 2:43

Yea i found this one very easy.

12. fluffychenille on January 27, 2008 at 1:02

13. tayler on February 6, 2008 at 12:34

i love dr. nasty =)

14. mathlete on April 15, 2008 at 8:06

tech­ni­cal­ly you cant dou­ble a ‘per­fect’ cube…the answer is irrational…triple a cube yes , nev­er double…well i think so anyway

15. R V on October 15, 2009 at 7:16

The old­er side is 1 Foot.

As the new area of one side is now 2 square feet, then one side becomes âˆš2 feet (or 1.414 feet). Now the Vol­ume is:

âˆš2 x âˆš2 x âˆš2 = 2âˆš2 = 2.828 cubic feet.

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