Select the correct answerFind the length of the space diagonal of a cube with a volume of 512 cm³.Options83 cm163 cm123 cm203 cm

To find the length of the space diagonal of a cube, we first need to find the length of one side of the cube.

The volume of a cube is given by the formula V = s³, where s is the length of one side.

Given that the volume V is 512 cm³, we can set up the equation:

512 = s³

Taking the cube root of both sides gives us the length of one side:

s = cube root of 512 = 8 cm

The space diagonal of a cube is given by the formula d = √3 * s.

Substituting s = 8 cm into the formula gives us:

d = √3 * 8 = 13.856 cm

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