Regular octahedron has 8 congruent faces which are isosceles triangles. State whether the statement is true or false.
Solution:
Given, Regular octahedron has 8 congruent faces which are isosceles triangles.
We have to determine if the given statement is true or false
An octahedron is a shape that is formed by joining two pyramids at its bases.
Once joined the shape converts to 8 faces, 12 edges, and 6 vertices.
An octahedron is most commonly known as the regular octahedron i.e. when all the faces are of the same shape and size.
An octahedron is a polyhedron with 8 faces, 12 edges, and 6 vertices and at each vertex 4 edges meet.
It is one of the five platonic solids with faces that are shaped like an equilateral triangle.
Therefore, Regular octahedron has 8 congruent faces which are equilateral triangles.
✦ Try This: Regular hexahedron has 6 congruent faces which are equilateral triangles. 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 45
Regular octahedron has 8 congruent faces which are isosceles triangles. State whether the statement is true or false.
Summary:
The given statement, ”Regular octahedron has 8 congruent faces which are isosceles triangles” is false.
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