If a pyramid has a hexagonal base, then the number of vertices is ______. Fill in the blanks to make the statement true.
Solution:
Given, If a pyramid has a hexagonal base, then the number of vertices is ______.
We have to fill in the blanks to make the statement true.
A pyramid is a polyhedron whose base is a polygon and lateral faces are triangles.
Given, the base is a hexagon.
A hexagon is defined as a closed 2D shape that is made up of six straight lines.
It is a two-dimensional shape with six sides, six vertices, and six interior angles.
In a hexagon, the number of sides (n) is 6.
We know that, if a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.
Number of vertices = n + 1
= 6 + 1
= 7
Therefore, the number of vertices is 7.
✦ Try This: If a pyramid has a octagonal base, then the number of vertices is ______. Fill in the blanks to make the statement true.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10
NCERT Exemplar Class 8 Maths Chapter 6 Problem 35
If a pyramid has a hexagonal base, then the number of vertices is ______. Fill in the blanks to make the statement true.
Summary:
If a pyramid has a hexagonal base, then the number of vertices is 7.
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