A triangular prism is 16 millimeters long and has a triangular face with a base of 20 millimeters and a height of 16.8 millimeters. What is the volume of the triangular prism?

1 answer

To find the volume of the triangular prism, we first need to find the area of the triangular face.

The area of a triangle can be calculated using the formula:
Area = 1/2 * base * height

Plugging in the values:
Area = 1/2 * 20mm * 16.8mm
Area = 168 mm²

Now that we have the area of the triangular face, we can find the volume of the prism by multiplying the area of the base by the length of the prism:

Volume = Area of base * length
Volume = 168 mm² * 16 mm
Volume = 2688 mm³

Therefore, the volume of the triangular prism is 2688 cubic millimeters.