check the correction of the relation P=hdg, where P is pressure , d is density,h is height and g is acceleration due to gravity

$$begin {align} Here, & P = hgd---(1) & Dimensional formula of pressure = [ML^{-1} T^{-2}] & Dimensional formula of height = [L] & Dimensional formula of density = [ML^{-3}] & Dimensional formula of acceleration due to gravity = [LT^{-2}] & From (1) & [ML^{-1} T^{-2}] = [L] × [ML^{-3}] × [LT^{-2}] & [ML^{-1} T^{-2}]= [ML^{-1} T^{-2}] end {align}$$

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[begin {align} Here, & P = hgd---(1) & Dimensional formula of pressure = [ML^{-1} T^{-2}] & Dimensional formula of height = [L] & Dimensional formula of density = [ML^{-3}] & Dimensional formula of acceleration due to gravity = [LT^{-2}] & From (1) & [ML^{-1} T^{-2}] = [L] × [ML^{-3}] × [LT^{-2}] & [ML^{-1} T^{-2}]= [ML^{-1} T^{-2}] end {align}] Hence, L.H.S = R.H.S So, the given formula is correct.
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