Question

Geometry B Unit 6: Surface Area and Volume, Lesson 10: Surface Area and Volume Unit Test?
The first question on this test is "use Euler's formula to find the missing number.
vertices: 13
Edges: 26
Faces: ?
with the answer options
A. 14
B. 15
C. 16
D. 17
(I only showed to first question so someone would give me the correct answers.)

Answer 1

Answer:

B

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2

where F is faces, V is vertices and E is edges

Substitute the values given and solve for F, that is

F + 13 - 26 = 2

F - 13 = 2 ( add 13 to both sides )

F = 15 → B

Answer 2

The correct option is (B) 15

Euler's formula states the relationship between the number of Faces, Edges and Vertices of any polyhedron. It is given as

$F+V=E+2$

where

$F=\text{number of faces}\\V=\text{number of vertices}\\E=\text{number of edges}$

From the question

$V=13,E=26$

so

$F+V=E+2\\F+13=26+2\\F=26+2-13=15$

Learn more about Euler's formula here: https://brainly.com/question/12716048