a polyhedron has 36 edges and 21 faces, how many vertices does it have?
thank you

  1. 👍 0
  2. 👎 0
  3. 👁 803
  1. You can use Euler's polyhedral formula:
    V+F-E = 2
    V=number of vertices
    F=number of faces
    E=number of edges

    E=36 and F=21 into the polyhedral formula and solve for V.

    1. 👍 0
    2. 👎 0
  2. 79

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    1. What is the shape of the bases for the following polyhedron? A. Triangle B. Square C.rectangle D. Circle 2. What is the best name for the given solid figure? A. Rectangular pyramid B.rectangular cone C. Rectangular prism D.

  2. math

    How many edges are in K15, the complete graph with 15 vertices. Any help would be appreciated, thanks.

  3. MATH

    Which solid figure has 5 faces, 5 vertices, and 8 edges. Triangular pyramid Rectangular pyramid Pentagonal pyramid*** Triangular prism

  4. Math

    Consider the right rectangular prism shown. The figure shows a right rectangular prism whose dimensions are 8.5 centimeters, 2.25 centimeters, and 5.75 centimeters ​List the numbers of faces, edges, and vertices of the

  1. Geometry (check)

    Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have? A. 23 edges B. 22 edges C. 25 edges D. 20 edges****

  2. solid mensuration

    let a and b be opposite vertices of a unit cube (i.e. , the distance between a and b is the square root of 3). find the radius of a sphere, whose center is in the interior of the cube, that is tangent to the three faces that at a

  3. Discrete Math

    A certain connected graph has 68 vertices and 72 edges. Does it have a circuit? Explain.

  4. Math

    which shape has 5 faces 5 vertices and 8 edges? triangular Pyramid** Rectangular pyramid Pentagonal pyramid

  1. Math (2 Questions) - Please Help

    A cube has 8 vertices, 12 edges, and 6 square faces. A soccer ball (also known as a buckyball or truncated icosahedron) has 12 pentagonal faces and 20 hexagonal faces. How many vertices and how many edges does a soccer ball have?

  2. Math Help!

    Use Euler's Formula to find the missing number. Vertices: 13 Edges: 26 Faces: ? A. 14 B. 15****? C. 16 D. 17 What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm? A. 2,304 cm3 B.

  3. Physics

    A cube is located with one corner at the origin of an x, y, z, coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first

  4. Math

    Use Euler’s formula to answer the question. A polyhedron has 12 edges and 6 faces, how many vertices does it have?

You can view more similar questions or ask a new question.