There is a row of two triangular prisms and one pentagonal prism in a display at a museum how many lateral faces are there all together

1 answer

To find the total number of lateral faces on the prisms in the display, we need to add up the number of lateral faces on each individual prism.

A triangular prism has 3 lateral faces.

A pentagonal prism has 5 lateral faces.

Since there are two triangular prisms and one pentagonal prism, we calculate:

2 triangular prisms * 3 lateral faces per prism = 6 lateral faces for the triangular prisms

1 pentagonal prism * 5 lateral faces per prism = 5 lateral faces for the pentagonal prism

Therefore, the total number of lateral faces altogether is:

6 lateral faces for the triangular prisms + 5 lateral faces for the pentagonal prism = 11 lateral faces. Answer: \boxed{11}.