Finding the Smallest Cube a Sphere can fit in

[Orcblood]

So I'm in a programming class and not in a math class, though some people may think I should be, I just need someone to check if this is right (Preferable someone who is good or decent with math) and or explain to me a better solution. So part of the programming assignment is to find the cubic dimensions of the smallest cub that can fit a sphere, already defined early, inside of it. 

This is what I am thinking. 

 

(DiameterOfSphere + .0000001)^3 = Volume of Cube

You can do only so many 0 until it is ridiculous.

 

 

Anyone who may think I shouldn't be getting answers to hw I have a few things to say. First thing yay for good morals! I think cheating is very wrong too. I wouldn't want you to do my work but as this is a programming class and not a math class I don't see what's wrong with asking for a math formula. Also this is only part of the assignment. My last point is that my teacher did say we could google for math and anything else just not have a friend or someone code it for us which is definitely cheating. I could not find a solution searching online hence why I'm asking

 

Last note, since there is no code and it is a math problem I decided to put this question in Off Topic in case you think I should of put it else where.

Thanks in advance!! 

[T.Vengeance]

That question makes no sense. 

[roastduck]

Your topic suggests one problem, but the text in your post suggests a completely  different problem. Are you trying to fit a cube into a sphere, or a sphere into a cube?

[Guest]

A cube just has to be bigger than big as the diameter of the sphere

[Orcblood]

Your topic suggests one problem, but the text in your post suggests a completely  different problem. Are you trying to fit a cube into a sphere, or a sphere into a cube?

I need the smallest cube possible to fit a sphere of certain size. So if my sphere has a diameter of 12 my cube has to fit a sphere with a diameter of 12 without extra space. Not sure how to explain it better. I think if I did (diameter + 0.1)^3 he would be fine with it. I just hope he doesn't get nit picky and want some crazy tiny number and says I need a smaller cube. I think at this point I will just go with what I said ((diameter + 0.1)^3) and hope for the best. Thanks all

[Trik'Stari]

Oh this is easy to check.

 

@LukaP Our resident physicist.

[LukaP]

Oh this is easy to check.

 

@LukaP Our resident physicist.

umm radius of the sphere = half a side of the sphere? if its fitting it in as it is

 

Volumetrically 

a³ = (4π/3)r³ 

so if you know your cube size (a) then it becomes

a = qbrt((4π/3)r³)

[Totallycasual]

umm radius of the sphere = half a side of the sphere? if its fitting it in as it is

 

Volumetrically 

a³ = (4π/3)r³ 

so if you know your cube size (a) then it becomes

a = qbrt((4π/3)r³)

 

You just blew my mind >.<