It depends on the shape. The number of edges, alone, is not enough to determine a unique shape.
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The volume of this cube is 2,197 cm3
Gyroelongated square pyramid, It contains 13 faces, 9 vertices and 20 edges. Please, go to the link provided below the answer, to its figure.
Oh, what a happy little question! To find the volume of a cube, you simply need to multiply the length of one side by itself three times. So, for a cube with 13-inch edges, the volume would be 13 x 13 x 13, which equals 2,197 cubic inches. Just imagine all the beautiful things you could create with that much space!