Cube Volume Calculator
Last updated: August 19, 2022
Cube Volume Formula
How to find the volume of a cube, knowing its side length?
volume = side * side * side = side^3
For example, let’s find the volume of a cube with a side length of 2 inches (check ):
volume = 2 in * 2in * 2 in = (2in)^3 = 8 in^3
How to find the volume of a cube, knowing its diagonal?
volume = \dfrac{diagonal^3}{3\sqrt{3}}
For example, let’s find the volume of a cube with a diagonal of 10 inches (check ):
volume = \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 = \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 = \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 = \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 = \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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