Finding dimensions from volume, surface area, etc?

[Forensicmad]

Hey all,

I was sent an AS Maths preparation/revision booklet for me to go over and complete questions in before i go back to school.

 

After one of the questions, it gives a random puzzle and I am stumped. I havent been told how to do it before.

 

It says that a cubiod has a volume of 7.5cm3, a total surface area of 26cm2 and the total lengths of all its sides is 26cm.

 

I am told to give the dimensions of the cuboid.

 

I have absolutely no idea on how to do this. I can find the volume etc from the dimensions easily, but i dont know how to do it in reverse.

 

Could someone please shed some light on how i would go about doing this.

 

Thanks

[doG]

It's basically a simultaneous equation, solve accordingly.

[ajb]

Do it exactly as doG suggests. write down the forumla for the volume, surface area and sum of the sides. You now have 3 simultaneous equations and 3 unknowns which you can solve.

[Forensicmad]

Okay, thanks very much. I had no idea that a simultaneous equation was involved.