The length, breadth and height of a cuboid are in the ratio 5 : 3 : 2. If its volume is 240 cm^3, find its dimensions. Also find the total surface area of the cuboid.

[mathtotal]

Solve this questions 

[swansont]

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?

 

[TheVat]

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.  

[swansont]

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.

[Genady]

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

[TheVat]

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.

[swansont]

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

[TheVat]

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