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?
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.