Question

Verify Euler's relation with a pyramid whose base is a polygon of 5 sides.

Answer 1

Step-by-step explanation:

Eulers Formula

V-E+F=2

where,

V is Vertices

E is Edges

F is Faces

For square pyramid,

No. of Vertices are 5 =V

No. of Edges are 8 = E

No. of Faces are 5 = F

So,

Verifying by formlua,

5-8+5=2

Hence verified

Answer 2

Answer:

Consider the triangular prism

Recall the Euler’s formula, F + V = E + 2 Here number of faces, F = 5 Number of vertices, V = 6 Number of edges, E = 9 Consider, F+V = 5 + 6 = 11 E + 2 = 9 + 2 = 11Hence F + V = E + 2 Thus Euler’s formula is verified.

A pyramid is a solid formed by a polygonal base whose vertices join to the same point - not coplanar with the base - called the apex of the pyramid. A pyramid with a quadrilateral base is also called quadrilateral, square if the base is square. In addition to the base, the pyramid has triangular faces said to be lateral; the edges that join the base and the apex are also lateral.

A quadrilateral pyramid has 5 vertices, 8 edges and 5 faces. You can check the Euler's formula for this solid: 5 - 8 + 5 = 2.

pls mark as brainliest answer

Step-by-step explanation: