The length of each edge of the cube is 2 in.
Given:
Volume of cube = [tex]8 in.^{3}[/tex]
*image of a cube is shown in the attachment.
Recall:
Formula for volume of a cube is given as:
[tex]V = a^{3}[/tex]
where,
[tex]a =[/tex] length of each edge of the cube
[tex]V = 8[/tex]
Plug in the value into the formula to find a.
[tex]8 = a^{3}\\\sqrt[3]{8} = \sqrt[3]{a^{3} } \\2 = a\\a = 2[/tex]
Therefore, the length of each edge of the cubes is 2 inches.
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