The length of a one side of a cube is 24 mm.
What is a cube?
A Cube is a solid three-dimensional figure, which has 6 congruent square faces, 8 vertices and 12 edges. A cube is sometimes also referred to as a regular hexahedron or as a square prism.
For the given situation,
The surface area of a cube = 3456 square mm.
Let the side of a cube be 's'.
The formula of surface area of cube is
[tex]A=6s^{2}[/tex]
On substituting the above value,
⇒ [tex]3456=6s^{2}[/tex]
⇒ [tex]s^{2} =\frac{3456}{6}[/tex]
⇒ [tex]s^{2} =576[/tex]
⇒ [tex]s=\sqrt{576}[/tex]
⇒ [tex]s=24[/tex]
Hence we can conclude that the length of a one side of a cube is 24 mm.
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