A polyhedron can have 3 faces. State whether the statement is true or false.
Solution:
Given, A polyhedron can have 3 faces.
We have to determine if the given statement is true or false
A solid is a polyhedron if it is made up of only polygonal faces, the faces meet at edges which are line segments and the edges meet at a point called vertex.
A polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex.
From the above definition,
It is clear that a polyhedron must have at least 4 faces.
There are 5 regular polyhedra.
(i) tetrahedron with 4 faces
(ii) cube with 6 faces
(iii) octahedron with 8 faces
(iv) dodecahedron with 12 faces
(v) icosahedron with 20 faces
Therefore, a polyhedron cannot have only 3 faces.
✦ Try This: A polyhedron can have 5 faces. 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 43
A polyhedron can have 3 faces. State whether the statement is true or false.
Summary:
The given statement, ”A polyhedron can have 3 faces” is false.
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