Question

Which three dimensional figure has 5 faces, 8 edges and 5 vertices?

A.

B.

C.

D.

Answer 1

Hint Here, we will use that in a three dimensional figure, faces are the surfaces that are made up of the outside of a shape, edges are the lines in between the faces and vertices are where two or more edges meet. And then consider each option to find the correct one which is the same as given in the question.

Complete step-by-step answer:
We know that the three dimensional figure has 5 faces, 8 edges and 5 vertices.
We know that in a three dimensional figure, faces are the surfaces that are made up of the outside of a shape, edges are the lines in between the faces and vertices are where two or more edges meet.

Considering option A, we get that a rectangular pyramid has 5 faces, 8 edges and 5 vertices.
Thus, option A is correct.
Considering option B, we get that cube has 6 faces, 12 edges and 8 vertices.
Thus, option B is incorrect.
Considering option C, we get that cuboid has 6 faces, 12 edges and 8 vertices.
Thus, option C is also incorrect.
Considering option D, we get that the cylinder has 3 faces, 2 edges and no vertices.
Thus, option D is also incorrect.

Hence, option A is correct.

Note Whenever you face such type of problems draw the diagram and count the number of edges, faces and vertices with the help of diagram. Since we are given the diagrams in option, so we didn’t have to draw them separately, find the required values using the same diagrams from the problem. The key concept is to know the meaning of edges, faces and vertices.