Question

What are convex polyhedrons?

Answer 1

Hint:In order to solve this question, we should know about the concept of convex polyhedrons. Convex polygons are those whose interior angles are less than 180˚. Also, polyhedrons are the solid figures which have many plane faces. By using this concept, we can find the answer to this question.

Complete step-by-step answer:
In this question, we have been asked about the convex polyhedrons. So, in order to write the answer to this question, we will first consider the word ‘convex’ of ‘convex polyhedron’.
So, we know that convex refers to the interior angle of the edge of any 3D figure and it should be less than 180˚ for any two out of three axes. Now, we will consider the next word of the word ‘convex polyhedron’, that is, ‘polyhedron’. So, we know that polyhedrons are 3D solid figures which has many plane faces and each face forms any of the polygons.
So, if we conclude from the concept of the convex and polyhedron, we can say that convex polyhedron are those which are 3D figures having many faces where each face forms a polygon whose all the angles formed on the edges are not more than 180˚ or we can say that line joining any of the two edges of the convex polyhedron should completely lie inside the polyhedron. An example of a convex polyhedron is cube, which is as shown below.

Note: We can also write the answer for this question by comparing a convex and a concave polyhedron and then defining convex polyhedron including the differences among both the polyhedrons. The students must remember that in a convex polyhedron, all the interior angles must be less than 180˚, if not, then it is a concave polyhedron.