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Motivated by a recent work on asymptotically Ad$S_4$ black holes in M-theory,we investigate both thermodynamics and thermodynamical geometry ofRaissner-Nordstrom-AdS black holes from M2-branes. More precisely, we study AdSblack holes in $AdS_{4}\times S^{7}$, with the number of M2-branes interpretedas a thermodynamical variable. In this context, we calculate variousthermodynamical quantities including the chemical potential, and examine theirphase transitions along with the corresponding stability behaviors. Inaddition, we also evaluate the thermodynamical curvatures of the Weinhold,Ruppeiner and Quevedo metrics for M2-branes geometry to study the stability ofsuch black object. We show that the singularities of these scalar curvature'smetrics reproduce similar stability results obtained by the phase transitionprogram via the heat capacities in different ensembles either when the numberof the M2 branes or the charge are held fixed. Also, we note that all resultsderived in [1] are recovered in the limit of the vanishing charge.

Thermodynamics of Charged AdS Black Holes in Extended Phases Space via M2-branes Background