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 number of lateral faces, we need to count the number of faces on each pyramid and then add them together.

Let's start with the triangular pyramid. A triangular pyramid has 4 faces - 1 base and 3 lateral faces.

Next, let's consider the pentagonal pyramid. A pentagonal pyramid has 6 faces - 1 base and 5 lateral faces.

Since there are 2 triangular pyramids, we multiply the number of faces in one triangular pyramid by 2: 4 faces x 2 = 8 faces.

So far, we have 8 faces from the triangular pyramids and 6 faces from the pentagonal pyramid.

Adding them together, we get 8 + 6 = 14.

Therefore, there are 14 lateral faces altogether.