Math, asked by palakpatel6868, 11 months ago

verify Euler's formula for a triangular prism

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Answered by 19rishika04

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

19rishika04: Mathematicians have derived Euler's formula for these and similar shapes. It states that for a polyhedron the number of faces plus the number of vertices minus the number of edges is always two. For a triangular prism, this formula holds true: (5 + 6 - 9 = 2).

19rishika04: hope it helps

19rishika04: please mark as the brainliest

Answered by mdimtihaz

As we know that Euler formula is,

$F+V=E+2$

Where F is the faces on the body, V is vertices on the body and E is the edge of the body.

Given: Triangular Prism

In Triangular Prism Face F is 5, Vertices V is 9 and Edge E is 6.

$F+V=E+2\\5+6=9+2$

$11=11$

Hence Verified

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verify Euler's formula for a triangular prism