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1. Product of cube diagonal lengths ●●○○○ 20 ptsA cube has side length 1. Find the product of the lengths of the diagonals of this cube, where a diagonal is a line segment between two vertices that is not an edge.
2. Cube volume equals six times edge sum ●●○○○ 20 ptsThe volume of a cube is numerically equal to six times the sum of the lengths of its edges. Find the volume of the cube, in cubic units, rounded to two decimal places.