A pencil holder shaped like a triangular prism is shown. The height of the prism is 12 centimeters.
10cm, 12cm, 7cm, 7cm
What is the lateral surface area of the pencil holder in square centimeters?
The lateral surface area of a triangular prism can be found by calculating the perimeter of the base and multiplying it by the height of the prism.
The base of the triangular prism is a triangle with side lengths of 10 cm, 7 cm, and 7 cm.
The perimeter of the base is 10 cm + 7 cm + 7 cm = 24 cm.
The lateral surface area is therefore 24 cm * 12 cm = <<24*12=288>>288 cm^2.
So, the lateral surface area of the pencil holder is 288 square centimeters.
are you sure?
Apologies for the error in my previous response.
To calculate the lateral surface area of a triangular prism, we need to find the perimeter of the triangle and multiply it by the height of the prism.
Given that the side lengths of the triangular base are 10 cm, 7 cm, and 7 cm, the perimeter of the base is 10 cm + 7 cm + 7 cm = 24 cm.
The lateral surface area is then 24 cm (perimeter) * 12 cm (height) = 288 cm².
So, the correct lateral surface area of the pencil holder is 288 square centimeters.