Question

Use euler's formula to find the missing number vertices 13 edges 28 faces

Answer 1

Euler's method is a procedure for solving differential equations with an initial value. The formula for Euler's method establishes the basic relationship between trig functions and complex exponential functions.

Euler's formula is:
$r=m-v+2$

In this case, r represents faces, v represents vertices and m is equal to edges, therefore, we have the following:
$r=m-v+2 \\ r=28-13+2 \\ r=17$

Answer 2

Euler's formula is also known as Euler's polyhedra formula. The number of faces in a polyhedra which has 13 vertices and 28 edges is 17.

What is Euler's Formula?

Euler's formula is also known as Euler's polyhedra formula. The formula gives us the relation between the number of faces, vertices, and edges of any polyhedron. It is given as,

F + V = E + 2,

where F is the number of faces,

V the number of vertices,

E the number of edges.

Given to us

V = 13 Vertices

E = 28 Edges

We know about Euler's formula substituting the values to find the number of vertices,

F  + V = E + 2

F + 13 = 28 + 2

F = 28 + 2 - 13

F = 17

Hence, the number of faces in a polyhedra which has 13 vertices and 28 edges is 17.

Learn more about Euler's Formula:

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