Does heating a body increase its mass?

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Does the mass-energy equivalence mean that if we heat a body then its mass will increase?
 
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Yes. Google will find an explanation.
 
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I should add it's a very small effect. E=mc^2 so m=E/c^2 and c is big.
 
So this means that the mass is not only dependent on the quantity of matter in that object, right?
 
Well, I think it's hard to strictly and generally define what "quantity of matter" is. I would say that is a good non-relativistic heuristic about what mass is. In relativistic physics mass is defined by [tex]m=\frac{1}{c^2}\sqrt{E^2-p^2c^2}[/tex]
E and p are of course frame-dependent, but it turns out that m is not, so it is a good and non-problematic generalisation of Newtonian mass. Contrary to what is known as "relativisitc mass"...