Question

there is a row of two triangular pyramids and one pentagonal pyramid in a display at a museum. how many lateral faces are there altogether?

Answer 1

To find the total lateral faces, we count 3 lateral faces for each of the two triangular pyramids and 5 lateral faces for the pentagonal pyramid. Summing them up gives us a total of 11 lateral faces.

Step-by-step explanation:

In the question provided, we are asked to determine the total number of lateral faces in a row of two triangular pyramids and one pentagonal pyramid. A triangular pyramid, also known as a tetrahedron, has 4 faces, 3 of which are lateral faces. A pentagonal pyramid has 6 faces, 5 of which are lateral faces. Therefore, each triangular pyramid has 3 lateral faces, and the pentagonal pyramid has 5 lateral faces.

Using simple addition, we can calculate the total number of lateral faces as follows:

1. (3 lateral faces for the first triangular pyramid) + (3 lateral faces for the second triangular pyramid) + (5 lateral faces for the pentagonal pyramid)
2. 3 + 3 + 5 = 11 lateral faces

As such, there are 11 lateral faces in total for the two triangular pyramids and one pentagonal pyramid.