Posted by **Makayla** on Tuesday, December 11, 2012 at 12:00am.

A solid has 10 faces: 4 triangles;1 Square; 4 hexagons; and 1 octagon, how many vertices does the solid have?

- Geometry B -
**Steve**, Tuesday, December 11, 2012 at 10:49am
Euler showed that F+V-E=2, so now we know that

E-V = 10

Since each edge belongs to two polygons, there are (4*3+1*4+4*6+1*8)/2 = 24 edges

So, there are 14 vertices

seems reasonable, since all vertices belong to 3 or mlore polygons

## Answer this Question

## Related Questions

- math - How many faces, edges, and vertices does the solid figure have? image
- Math - The tree faces of a rectangular solid have areas 6,10, and 15. If the ...
- calculus - The base of a solid is a circle of radius = 4 Find the exact volume ...
- Geometry - 1 How many faces does a square pyramid have? 2 How many edges does a ...
- calculus - The base of a solid in the xy-plane is the first-quadrant region ...
- maths-urgently needed - ABCD is a square with length of each side 1cm. An ...
- Math - Denisha used 9 balls of clay and 16 straws tomake a solid pyramid. How ...
- math - Danish used 9 balls of clay and 16 straws to make a solid pyramid. How ...
- geometry - What solid has 2 triangular faces and 3 rectangular faces?
- Calculus - R is the region in the plane bounded below by the curve y=x^2 and ...