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# 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 × πr^{3} 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__.

**☛ Related Questions:**

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