EXERCISE 15.1 1. Tabulate the number of faces, edges and vertices for the following polyhedrons. [Here V stands for number of vertices, F stands for number of faces and E stands for number of edges.] F Solid Cuboid Triangular prism Triangular pyramid Pyramid with square base 5 Prism with square base V 5 E 8 F+V irfares and edges do these solids have: E+2 10 10 having a 10-sided polygon as base

Consider the following pyramid with square base formed by the four points (1, 1,0), (1, –1,0), (-1,1,0), (-1, –1,0), and (0,0,1). What is the length of each edge connecting the base to the apex? Find the angle at the apex of a triangular faces.

of ff za Enter the exact answer (as a whole number or fraction). . Find zdV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), and (0,0,4). Submit Question

Suppose ABC is a triangle in the hyperbolic plane and D is a point on the segment BC. The segment AD divides ΔABC into two new triangles. How are the defects of ΔABD and ΔACD related to the defect of ΔABC?