a pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters.
What is the lateral surface area of the pencil holder in square centimeters?
In order to find the lateral surface area of the triangular prism pencil holder, we need to find the perimeter of the triangular bases first.
Since it is a triangular prism, the base is a triangle. The perimeter of a triangle can be found by adding together the lengths of its three sides.
Let's assume that the sides of the triangle forming the base are a, b, and c.
Therefore, the perimeter of the triangular base is P = a + b + c.
To find the lateral surface area, we multiply the perimeter by the height (h).
The lateral surface area of the triangular prism pencil holder = P * h
Given that the height of the prism is 12 centimeters, we need the perimeter of the triangular base.
However, without the length of the sides, we cannot calculate the perimeter or the lateral surface area. If you have more information about the dimensions or the angles in the triangular base, please provide it, and I'll be happy to help you further.