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

Ronald Rush

2 September, 13:53

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

+1

Answers (1)

Know the Answer?

Ariella Burton · 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