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one face of this polyhedron is a pentagon. the polyhedron has a total of six vertices pentagonal pyramid a rectangular prism has dimensions 10 cm by 12 cm by 6 cm. what is the sum of the lengths of the edges
Look at a polyhedron, for example the cube or the icosahedron above, count the number of vertices it has, and call this number V. The cube, for example, has 8 vertices, so V = 8. Next, count the number of edges the polyhedron has, and call this number E. The cube has 12 edges, so in the case of the cube E = 12. Finally, count the number of faces and call it F. In the case of the cube, F = 6. Now Euler's formula tells us that.