To find the total number of lateral faces for the two triangular pyramids and one pentagonal pyramid, we can break it down as follows:
- A triangular pyramid (tetrahedron) has 3 lateral faces.
- A pentagonal pyramid has 5 lateral faces.
Now, calculate the total number of lateral faces:
- For two triangular pyramids: \( 2 \times 3 = 6 \) lateral faces
- For one pentagonal pyramid: \( 5 \) lateral faces
Now add them together:
\[ 6 + 5 = 11 \]
So, the total number of lateral faces altogether is 11.