Size and weight is a big decision factor when you are trying to find the ideal camera for your needs.
In this section, We are going to illustrate FujiFilm S2800HD and Sony NEX-C3 side-by-side from the front, back and top in their relative dimensions. FujiFilm S2800HD has external dimensions of 110 x 74 x 82 mm (4.33 x 2.91 x 3.23″) and weighs 437 g (0.96 lb / 15.41 oz) (including batteries). Sony NEX-C3 has external dimensions of 110 x 60 x 33 mm (4.33 x 2.36 x 1.3″) and weighs 225 g (0.50 lb / 7.94 oz) (including batteries).
Below you can see the front view size comparison of FujiFilm S2800HD and Sony NEX-C3. As you can tell, actually this is not a fair size comparison since FujiFilm S2800HD has a built-in lens but Sony NEX-C3 doesn't. Once you put a lens on NEX-C3, its thickness will increase significantly.
Here is the back view size comparison of FujiFilm S2800HD and Sony NEX-C3.
Weight is another important factor especially when deciding on a camera that you want to carry with you all day.
Sony NEX-C3 is significantly lighter (212g ) than the FujiFilm S2800HD which may become a big advantage especially on long walking trips.
Again, this comparison may not be very useful in real life as we are comparing the weight of a camera with a built-in lens to the body-only weight of an interchangeable lens camera. Once you put a lens on NEX-C3, the total kit will weigh much higher.
Unfortunately neither FujiFilm FinePix S2800HD (FinePix S2900HD) nor Sony Alpha NEX-C3 provides any type of weather sealing in their body, so you have to give extra care especially when you are shooting outdoors. If weather sealing is a must-have feature for you, check these sections: Top Bridge Cameras with Weather Sealing Top Mirrorless Cameras with Weather Sealing
LCD Screen Size and Features
FujiFilm S2800HD and Sony NEX-C3's LCD screens has the same diagonal size of 3".
On the other hand, Sony NEX-C3 features a Tilting screen
where you can change the angle of the screen to make it easier to shoot from waist or over the head levels whereas the FujiFilm S2800HD has a fixed type screen which provides less flexibility in shooting positions compared to NEX-C3.