Select the correct answerFind the length of the space diagonal of a cube with a volume of 512 cm³.

Sure, here are the steps to find the length of the space diagonal of a cube with a volume of 512 cm³:

Step 1: Find the side length of the cube. The volume of a cube is given by the formula V = s³, where s is the side length. So, if the volume V is 512 cm³, we can find the side length by taking the cube root of the volume. The cube root of 512 is 8, so the side length s is 8 cm.

Step 2: Find the space diagonal. The space diagonal d of a cube is given by the formula d = √3 * s. Substituting s = 8 cm into this formula gives d = √3 * 8 = 8√3 cm.

So, the length of the space diagonal of the cube is 8√3 cm.