Dimensional formula of energy density

Energy density
[M L−1 T−2]
Written in full: [M¹ L⁻¹ T⁻² A⁰ K⁰]

How to derive it

Energy density = Energy ÷ Volume

Put in the dimensions of each part: [ML²T⁻²] ÷ [L³] = [M L⁻¹ T⁻²].

mass (M)
1
length (L)
-1
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of energy density is J/m³.

Same dimensions as energy density

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Work, energy and power

QuantityFormula
Work[M L2 T−2]
Kinetic energy[M L2 T−2]
Power[M L2 T−3]