A solid has faces that consist of 1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares. The solid has 11 vertices. How many edges does this solid have?

A. 18 edges

B. 20 edges

C. 22 edges

D. 30 edges

Question

Mathematics

Nylah Rhodes

18 April, 00:45

A solid has faces that consist of 1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares. The solid has 11 vertices. How many edges does this solid have?

A. 18 edges

B. 20 edges

C. 22 edges

D. 30 edges

+5

Answers (1)

Know the Answer?

Josephine Valencia · Answer 1

Euler's formula states that F + V - E = 2, where, F, V, and E represent the number of faces, vertices, and edges on the solid.

This solid has 1 + 5 + 5 = 11 faces (F). We are given that it has 11 vertices (V). Therefore, to satisfy this equation:11 + 11 - E = 2E = 20 edges (choice B)

A solid has faces that consist of 1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares. The solid has 11 vertices. How many edges does this solid have?A. 18 edgesB. 20 edgesC. 22 edgesD. 30 edges

A solid has faces that consist of 1 pentagon, 5 congruent equilateral triangles, and 5 congruent squares. The solid has 11 vertices. How many edges does this solid have?

A. 18 edges

B. 20 edges

C. 22 edges

D. 30 edges