Euler’s formula is true for all three-dimensional shapes. State whether the statement is true or false.

Solution:

Given, Euler’s formula is true for all three-dimensional shapes.

We have to determine if the given statement is true or false

Euler’s formula for any polyhedron is given by

F + V – E = 2

Where F stands for number of faces,

V for number of vertices

E for number of edges.

Euler's formula is true for the cube and the icosahedron.

Therefore, Euler’s formula is true only for polyhedra.

✦ Try This: Euler’s formula is true for all cubes. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 48

Euler’s formula is true for all three-dimensional shapes. State whether the statement is true or false.

Summary:

The given statement, ”Euler’s formula is true for all three-dimensional shapes” is false.

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