a pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters.
10 cm, 12 cm, 7 cm, 7 cm
What is the lateral surface area of the pencil holder in square centimeters?
To find the lateral surface area of a triangular prism, we need to calculate the perimeter of the base and then multiply it by the height of the prism.
The base of the triangular prism has a perimeter of 10 cm + 12 cm + 7 cm = 29 cm.
The lateral surface area is then 29 cm * 12 cm = <<29*12=348>>348 square centimeters. Answer: \boxed{348}.