In order to find the lateral surface area of a triangular prism, we need to find the perimeter of the triangular base and multiply it by the height of the prism.
Since the triangular base is equilateral, all three sides are of equal length. Let's call this side length "s". The perimeter of the base would then be 3s.
To find "s", we can divide the perimeter of the base by 3. However, we don't have the perimeter of the base, so we need to find it.
To find the perimeter of an equilateral triangle, we can multiply one side length by 3. Therefore, the perimeter of the base is 3s.
Now we have the perimeter of the base, so we can find "s" by dividing the perimeter by 3.
Since the height of the prism is 12 centimeters, the lateral surface area of the pencil holder would be 12 times the perimeter of the base.
Therefore, the lateral surface area of the pencil holder in square centimeters is 12 * (3s).
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?
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