Solve this questions 

27 minutes ago, mathtotal said:

Solve this questions 

No. We will not do your work for you. We will help you solve it.

What have you done thus far?

 

Consider the operation you do on the 5:3:2.   Can you see what you might do to that result to obtain the volume given?  Remember this is a cube.  

58 minutes ago, TheVat said:

Remember this is a cube.  

It’s not; a cube would have equal sides. But it has 90 degree corners, like a cube.

A straightforward trial-and-error gets it on a second trial.

2 hours ago, swansont said:

It’s not; a cube would have equal sides. But it has 90 degree corners, like a cube.

Not to sound grumpy but I think a benefit of the doubt that my autocorrect turned cuboid to cube would have been welcome.  Of course I know it's not a cube.  Cheers.

My comment was primarily for the benefit of the OP and any onlookers. Apologies that this was not clear.

None needed - I was being grumpy.  And my bad for not proofreading.  I don't need to be giving math students topological nightmares.