A solid with no vertex is __________.
Solution:
We know that
In geometry, a sphere is a three-dimensional solid figure, which is round in shape.
From a mathematical perspective, it is a combination of a set of points connected with one common point at equal distances in three dimensions.
A few examples of a sphere include a basketball, a soap bubble, a tennis ball, etc.
A sphere has zero vertex, zero edge and one curved surface.
Therefore, a solid with no vertex is a sphere.
✦ Try This: List the properties of a sphere.
a) It is symmetrical in all directions.
b) It has only a curved surface area.
c) It has no edges or vertices.
d) Any point on the surface is at a constant distance from the center known as radius.
e) A sphere is not a polyhedron because it does not have vertices, edges, and flat faces. A polyhedron is an object that should definitely have a flat face.
f) Air bubbles take up the shape of a sphere because the sphere's surface area is the least.
g) Among all the shapes with the same surface area, the sphere would have the largest volume. Sphere's volume formula is 4/3 × πr3 cubic units.
Therefore, the properties of a sphere are listed above.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 10
NCERT Exemplar Class 7 Maths Chapter 12 Problem 37
A solid with no vertex is __________.
Summary:
A solid with no vertex is a sphere.
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