A pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters.

7cm, 7cm,12cm,10cm
What is the lateral surface area of the pencil holder in square centimeters?

1 answer

To find the lateral surface area of a triangular prism, we need to find the perimeter of the base and multiply it by the height of the prism.

The base of the prism is a triangle with side lengths of 7cm, 7cm, and 10cm.

The perimeter of the base is 7cm + 7cm + 10cm = 24cm.

Now we multiply the perimeter of the base by the height of the prism: 24cm * 12cm = 288cm^2.

So, the lateral surface area of the pencil holder is 288 square centimeters.