Find whether the following figure satisfies Euler formula and name the figure.

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Tetrahedron

Cube

Cuboid

It does not satisfy Euler’s formula

answer is A.

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Detailed Solution

Given figure is,
Question Image

We know Euler’s formula for Polyhedron is
F + V = E + 2
Where F is the number of faces, V denotes the number of vertices, and E denotes the number of edges.
From the given figure,
F = Number of faces = 4,
V = Number of vertices = 4,
E = Number of edges = 6.
According to Euler’s formula
LHS = F + V
= 4 + 4
= 8
RHS = E + 2
= 6 + 2
= 8
Thus, LHS = RHS.
Therefore, it satisfies Euler’s formula and its name is Tetrahedron as it has 4 faces.
The correct option is (1).

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