Advertisements
Advertisements
Question
Verify Euler's formula for the following polyhedron:
Advertisements
Solution
In the given polyhedron:
Edges E=15
Faces F=7
Vertices V=10
Now, putting these values in Euler's formula:
LHS: F+V
= 7+10
= 17
LHS: E + 2
= 15 + 2
= 17
LHS = RHS
Hence, the Euler's formula is satisfied.
APPEARS IN
RELATED QUESTIONS
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
What is the least number of planes that can enclose a solid? What is the name of the solid?
Verify Euler's formula for the following polyhedron:
State, the number of faces, number of vertices and number of edges of:
(i) a pentagonal pyramid
(ii) a hexagonal prism
The following figure represent the nets of some solid. Name the solid
Identify if the following net can be used to form a cube:
A solid figure with only 1 vertex is a ______.
How many edges does the following solid have?
Kaleidoscope
A solid that has only one vertex is ______.
How many faces does figure have?
