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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
The prism shown below, which has an octagon as its base, does have ten faces, but the number of vertices here is sixteen. The pyramid, which has a 9-sided base, also has ten faces, but has ten vertices. But Euler's formula tells us that no simple polyhedron has exactly ten faces and seventeen vertices. Figure 6: Both these polyhedra have ten faces, but neither has seventeen vertices.