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

To find the lateral surface area of the pencil holder, we need to find the area of all three faces that make up the triangular prism.

A triangular prism has two congruent triangular faces and three rectangular faces.

Since the height of the prism is 12 centimeters, the height of the triangular faces is also 12 centimeters.

We also need to know the base of the triangular prism in order to calculate the area of the triangular faces. However, this information is not provided in the question. Without knowing the dimensions of the base, we cannot calculate the area of the triangular faces, and therefore cannot find the lateral surface area of the pencil holder.