alleryEuler's formula: F + V - E = 2. If F = 8 and V = 12, what is E?
A18
B16
C22
D20
Answer & Solution
Correct answer: A. 18
1. Euler's formula says F + V - E = 2.
2. Put F = 8 and V = 12: 8 + 12 - E = 2.
3. So E = 20 - 2 = 18.
4. A hexagonal prism fits this: 8 faces, 12 vertices, 18 edges.
_Source: Math Is Fun, Vertices, Edges and Faces (mathsisfun.com/geometry/vertices-faces-edges.html), Euler's Formula_
Keep practising Solids Around Us
Browse all Solids Around Us questions for CTET, or explore more Mathematics topics.
Related questions
For a square pyramid, what is faces + vertices - edges?One square base and four triangles, with 5 corners and 8 edges: which solid?A solid has 5 faces, 6 corners, 9 edges and 2 triangular faces. Name it.How many edges does a cylinder have?I have 1 flat face, 1 curved face and 1 edge. What solid am I?A cuboid has length 6 cm, breadth 4 cm and height 3 cm. How many of its faces measure 6 cmTwo identical cubes are joined face to face. The solid formed is a what?Pentagonal pyramid: base edges plus slanting edges. Total edges?