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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

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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EXERCISE 15.1 E + 2 F+ V E Solid Cuboid Triangular prism 10 Triangular pyramid Pyramid with square base Prism with square base 10 8 2. How many vertices, faces and edges do these solids have: a. a hexagonal prism b. an octagonal prism c. a prism having a 10-sided polygon as base 3. How many vertices, faces and edges do these solids have: a. a pentagonal pyramid b. a decagonal pyramid c. a pyramid having a 12-sided polygon pyramid as base. 4. How many faces does a polyhedron have if it has 45 edges and 30 vertices? 5. How many edges does a polyhedron have if it has 26 vertices and 15 faces? 6. Can a polyhedron have 13 faces, 27 edges and 15 vertices? 7. For each of the given solid, the three views are given. Mark them as top, side and front or bottom views. a. -Side i. Front ii. iii. b. A dice i. ii. iii. C. A nut i. ii. iii. 218 ICSE Mathematics 8
Transcribed Image Text:EXERCISE 15.1 E + 2 F+ V E Solid Cuboid Triangular prism 10 Triangular pyramid Pyramid with square base Prism with square base 10 8 2. How many vertices, faces and edges do these solids have: a. a hexagonal prism b. an octagonal prism c. a prism having a 10-sided polygon as base 3. How many vertices, faces and edges do these solids have: a. a pentagonal pyramid b. a decagonal pyramid c. a pyramid having a 12-sided polygon pyramid as base. 4. How many faces does a polyhedron have if it has 45 edges and 30 vertices? 5. How many edges does a polyhedron have if it has 26 vertices and 15 faces? 6. Can a polyhedron have 13 faces, 27 edges and 15 vertices? 7. For each of the given solid, the three views are given. Mark them as top, side and front or bottom views. a. -Side i. Front ii. iii. b. A dice i. ii. iii. C. A nut i. ii. iii. 218 ICSE Mathematics 8
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