Ask Question
10 September, 03:59

A convex polyhedron has faces that consist of 30 squares, 20 hexagons, and 12 octagons. The polyhedron has 120 vertices. How many edges does it have? Euler's formula: V + F = E + 2

+2
Answers (2)
  1. 10 September, 06:07
    0
    Add the total faces: 30 + 20 + 12 = 62

    Using the given equation: V + F = E + 2

    You have F = 62, V = 120

    Now solve for E:

    120 + 62 = E + 2

    Simplify:

    182 = E + 2

    Subtract 2 from both sides:

    E = 182 - 2

    E = 180

    It has 180 edges.
  2. 10 September, 07:17
    0
    180 is correct
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A convex polyhedron has faces that consist of 30 squares, 20 hexagons, and 12 octagons. The polyhedron has 120 vertices. How many edges ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers