Number of segments on the surface of a gridded cuboid

• Jun 3rd 2013, 09:30 AM
boyboy400
Number of segments on the surface of a gridded cuboid
Dear everyone,

I have a cuboid.
On the X axis, it's divided to 4 segments (i.e. by 3 lines parallel to z axis) (segx=4).
On the Y axis, it's divided to 3 segments (i.e. by 2 lines parallel to z axis) (segy=3).
On the Z axis, it's divided to 8 segments (i.e. by 7 lines parallel to x or y axes) (segz=8).

Each line between two grid points is called a segment. How many segments are there on the surface of this cube entirely? All the 6 sides are divided as I said (like Rubik's cube!).
The numbers I said were just an example. I need a formula based on segx and segy and segz for the number of segments on this cuboid.
I appreciate any help.
Thank you so much
• Jun 8th 2013, 09:12 PM
It seems like all you need to do to find the number of segments is to find the surface area. Take it to be the case that the side of a segment is of length 1. In your case the dimensions would be 3x4x8. The surface area is $2(4\times 8)+2(3\times 8)+2(4\times 3)$