Question

verify Euler's formula for (a) triangular prism (b) square pyramid

Answer 1

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.

Answer 2

Heya ur answer_-_-_-_-
A triangular pyramid has 4 faces, including the base, are triangles, 4 veritces and 6 edges. Hence, The Euler's Formula is verified for a Triangular Pyramid

Square pyramid Euler's formula

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

Hope it helps u_-_-_-_-_-_-_-_-&&&