Register - Log In
 FunTrivia Homepage New Questions Unanswered Post a Question Goto Qn # Archives

# If I had a cube with a side three feet in length what would be the volume, in cubic feet, for the smallest sphere which could completely encompass the cube?

Question #94707. Asked by rxbigdawg. (Apr 16 08 12:18 PM)

stuthehistoryguy

((3*sqrt(3)/2)^3)*(4/3)*pi

 Apr 16 08, 1:05 PM
triviapaul

This is not much of a trivia question, but I'll try to calculate it anyway.
I get 27/2*pi*sqrt3 which is about 73,5 cubic feet

 Apr 16 08, 1:06 PM
sequoianoir

I concur - 73.458874251485822949060169434507

Four thirds Pi x radius cubed

where radius is half the square root of 27

 Apr 16 08, 1:29 PM
stuthehistoryguy

If you plug the above into Excel (with 3.14 as pi) you get 73.42163373.

So, yeah.

 Apr 16 08, 1:30 PM
rxbigdawg

Actually they came up with the same answer I did, though by a different way. I'm a hack at math so I first found the diameter of the circle by finding the legnth of the diagonal runing from one corner of the cube to the other.

Using pythagorian theorum twice first to get the hypotenuse of one of the cubes sides and then to get the hypotenuse of the triangle with one side and the hypotenuse of the face. Thus I found:

sqrt(3sq + 3sq) = 4.24
sqrt(3sq + 4.24sq) = 5.196 the diameter of the sphere.

4/3(pi*r^3) is the area of a sphere.

Which gives you about 73.58 cubic feet.

 Apr 16 08, 2:20 PM

Find something useful here? Please help us spread the word about FunTrivia. Recommend this page below!

 Sign up to see all responses! Create a Free ID instantly to see all recent responses, post your own follow-ups or questions, and access over 1,000,000 trivia questions! Choose a User Name: Your Email Address: Choose a Password: I agree by the terms outlined in FunTrivia's Conditions of Use

### Other Similar Questions & Answers

 The fastest solver of a 3x3x3 Rubik's cube uses what method to solve the cube?

### Suggested Related FunTrivia Quizzes - 90,000 currently online

1 Cube
 This is a fairly simple quiz based on the movie 'Cube.' It shouldn't be too difficult if you've seen it a few times.
Cr - Cz Movies Average
10 Q
DarkManiac
Mar 28 03
540 plays
2 'Sphere'
 Here's a quiz on the Michael Crichton book 'Sphere', which (I thought) was excellent. Hopefully you've read it.
Crichton, Michael Average
15 Q
GeniusBoy
Aug 11 01
909 plays
3 'I' is for....
 Another installment here of my quiz. Up to 'I' now where I give you a scenario and.......oh if you don't know how it works by now look at my others.....Enjoy!
Words A - M Tough
10 Q
kristian88
Aug 15 03
726 plays

"Ask FunTrivia" is for entertainment purposes only, and answers offered are unverified and unchecked by FunTrivia. We cannot guarantee the accuracy or veracity of ANY statement posted. Feel free to post an updated response if you feel that an answer is inadequate or incorrect. Please thoroughly research items where accuracy is important to you using multiple reliable sources. By accessing our website, you agree to be bound by our terms of service.