A solid has two bases and 5 lateral faces. What is the sum of the number of vertices and edges combined?

25

Step-by-step explanation:

we know that

If the solid has two bases and 5 lateral faces, then the number of vertices is equal to 5 in each base

so

The number of edges is equal to 5 in each base plus 5 edges of the lateral faces

so

therefore

The number of vertices and edges combined is equal to

Verify

we know that

Euler’s formula for any polyhedron is given by the formula

where

F is the number of faces

V is the number of vertices

E is the number of edges

we have

---> 2 bases and 5 lateral faces

substitute

----> is ok