a d f
Side (a)
Cube diagonal (d)
Face diagonal (f)
Surface area
Result unit

Cube Volume Formula

How to find the volume of a cube, knowing its side length?

volume=sidesideside=side3volume = side * side * side = side^3

For example, let’s find the volume of a cube with a side length of 2 inches (check ):

volume=2in2in2in=(2in)3=8in3volume = 2 in * 2in * 2 in = (2in)^3 = 8 in^3

How to find the volume of a cube, knowing its diagonal?

volume=diagonal333volume = \dfrac{diagonal^3}{3\sqrt{3}}

For example, let’s find the volume of a cube with a diagonal of 10 inches (check ):

volume=(10in)333=1000in333192.45in3volume = \dfrac{(10in)^3}{3\sqrt{3}} = \dfrac{1000in^3}{3\sqrt{3}} \approx 192.45 in^3

How to find the volume of a cube, knowing its face diagonal?

volume=facediagonal3(2)3volume = \dfrac{face\:diagonal^3}{(\sqrt{2})^3}

For example, let’s find the volume of a cube with a face diagonal of 3 inches (check ):

volume=(3in)3(2)3=27in32.82849.54594in3volume = \dfrac{(3in)^3}{(\sqrt{2})^3} = \dfrac{27in^3}{2.8284} \approx 9.54594 in^3

How to find the volume of a cube, knowing its surface area?

volume=surfacearea366volume = \dfrac{\sqrt{surface\:area^3}}{6\sqrt{6}}

For example, let’s find the volume of a cube if its surface area is 24 square inches (check ):

volume=(24in2)366=13824in214.69694=117.575514.69694=8in3volume = \dfrac{\sqrt{(24in^2)^3}}{6\sqrt{6}} = \dfrac{\sqrt{13824in^2}}{14.69694} = \dfrac{117.5755}{14.69694} = 8in^3

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