Question

The faces of a square pyramid consist of:
A. Six squares.
B. Two squares and four rectangles.
C. One square and three triangles.
D. One square and four triangles.

Answer 1

Hint: We know that a pyramid is a polyhedron that has a base and 3 or greater than 3 triangular faces that meet at a point above the base, the point is known as the apex. So, we will draw the square pyramid as well as its net structure to find its faces.

Complete step-by-step solution -
We have been asked to find the faces of a square pyramid.
We know that a square pyramid is a polyhedron having a square base and triangular faces.

Most of the time, students forget to add the base and they recollect only the four triangular faces. So, it is necessary to draw a figure and visualize clearly without missing the base or any one of the sides. We know that a net of 3D shapes is a pattern reached when the surface of a three-dimensional figure is laid out, normally showing each face of the figure. The net of square pyramid is shown below,

We can clearly see that the square pyramid has one square and four triangular faces.
Therefore, the correct option is D.

Note: The net structure of a 3D figure is a good approach to find the shape of faces or the number of faces of a 3D figure. Also, the real life example of a square pyramid is the Great Pyramid of Giza.