Here is the information I've been given:
The sum of the lengths of the 12 edges of a cuboid is cm. The distance from one corner of the cuboid to the furthest corner is cm. What is the total surface area of the cube in terms of and .
This is what I've got so far:
Call the three lengths on the cuboid .
The total surface area =
As is the longest diagonal,
And finally, as is the total lengths,
I've tried to re-arrange those equations to get the surface area in terms of and , but to no avail.
All help appreciated,
EDIT: I've just realised that I've put this in the wrong sub-forum. Please could one of the moderators move this to the appropriate sub-forum?