Question
Question: How many rectangular faces do a hexagonal pyramid have?...
How many rectangular faces do a hexagonal pyramid have?
Solution
A hexagon is defined as a polygon with 6 sides. So, Firstly draw a rough polygon with 6 sides and then take a point which should in the middle of the hexagon (equidistant to all the vertices) and make sure that the point (known as apex) is at some height from the 2D Hexagon. Connect the vertices of the Hexagon to the Apex such that the lines converge to a common point.
Complete step-by-step answer:
⇒ First, Draw a polygon of 6 sides. The diagram below is a 2D Hexagon.
⇒ Now, draw lines connecting the vertices of the 2D Hexagon to a point which is placed at some height from the figure.
⇒ Complete connecting all the vertices to get the following 3D figure.
⇒ For a better view, tilt the diagram to see all the faces of the Hexagonal Pyramid.
⇒ From the figure above, We can conclude that there are 6 Triangles and 1 Hexagon.
Since the question was to find the number of rectangular faces of a Hexagonal Pyramid,
∴There are 0 rectangular faces in a Hexagonal Pyramid.
Additional Information: A Pyramid is a polyhedron that is formed by connecting the polygonal base to a point, which is formally known as an Apex. Each base edge and the converging point apex form triangular faces. It is a conic solid figure with a polygonal base.
The above 3D figure is a Pyramid with a square base.
Note:
One should not get confused between a Pyramid and a Prism. A Prism is a geometric figure which has 2 ends that are similar, equal, and parallel edges. It has 2 faces that are parallelograms. Know the difference between a parallelogram and a rectangle to not get confused with each other when asked to find either of the faces.