Which choice below gives the number of faces, edges, and vertices of a

rectangular pyramid?
A. 5, 8, 5
B. 4, 7, 4
C. 6, 12, 8
D. 8, 10, 8

http://www.mathsteacher.com.au/year8/ch10_geomcons/10_pyramid/spheres.htm

To determine the number of faces, edges, and vertices of a rectangular pyramid, we need to first understand its structure. A rectangular pyramid is a 3-dimensional figure with a rectangular base and four triangular faces that converge to a single point, called the apex.

Let's analyze each choice:

A. 5, 8, 5: This choice suggests that a rectangular pyramid has 5 faces, 8 edges, and 5 vertices. However, this does not match the structure of a rectangular pyramid, which has a rectangular base and four triangular faces. This choice is incorrect.

B. 4, 7, 4: This choice suggests that a rectangular pyramid has 4 faces, 7 edges, and 4 vertices. Again, this does not match the structure of a rectangular pyramid. This choice is also incorrect.

C. 6, 12, 8: This choice suggests that a rectangular pyramid has 6 faces, 12 edges, and 8 vertices. This matches the structure of a rectangular pyramid, as it has one rectangular base and four triangular faces. Additionally, the number of edges and vertices align with the combination of the base and the triangular faces. This choice is correct.

D. 8, 10, 8: This choice suggests that a rectangular pyramid has 8 faces, 10 edges, and 8 vertices. However, a rectangular pyramid has only 5 faces, not 8. This choice is incorrect.

In conclusion, the correct choice is C. A rectangular pyramid has 6 faces, 12 edges, and 8 vertices.