Which of the following 3D shapes does not have a vertex?
(a) Pyramid
(b) Prism
(c) Cone
(d) Sphere
Solution:
We have to determine the 3D shapes that do not have a vertex.
Vertex is the point of intersection of edges or line segments.
A vertex in math is a point where two lines or rays meet forming an angle at that point.
A pyramid is a polyhedron whose base is a polygon and lateral faces are triangles.
A prism is a polyhedron whose bottom and top faces are congruent polygons and faces known as lateral faces are parallelograms.
A sphere is a three-dimensional object that is round in shape.
The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis.
A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex.
From the above definitions,
We observe that spheres are curved objects that do not have edges.
Therefore, spheres do not have vertices.
✦ Try This: Which of the following 3D shapes have only one vertex? (a) Pyramid, (b) Prism, (c) Cone, (d) Sphere
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10
NCERT Exemplar Class 8 Maths Chapter 6 Problem 6
Which of the following 3D shapes does not have a vertex? (a) Pyramid, (b) Prism, (c) Cone, (d) Sphere
Summary:
Sphere is a 3D shape that does not have a vertex.
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