Thermodynamics question about density

If an object is twice as dense as another object of the same volume, would the more dense object be able to contain roughly twice as much heat energy, given that the temperature was the same in each?

 

Thanks for the replies. By "object" I just meant a clump of molecules in any arangement. Not necessarily a solid or a gas. I'm looking at it this way: molecules are bouncing around in object #1. The average speed of the molecules is its temperature, which is the same as object #2. But object #2 is twice as dense. The heavier molecules of object #2 are moving at the same speed as object #1, but they have twice the momentum which is thermal energy. Of course there are lots of variables that slight alter things, but that's why I used the term "roughly."

But I'm asking the question because I want to confirm that my understanding is correct.

And more practical speaking, what I want to know is how much money would the fuel cost to produce 4,000 cubic feet of foam glass (which has a much smaller density than solid glass.)