A triangular prism is 10.9 millimeters long. It has a triangular face with a base of 5 millimeters. The volume of the prism is 136.25 cubic millimeters. What is the height of its triangular face?
To find the height of the triangular face, we can use the formula for the volume of a triangular prism, which is:
Volume = (1/2) * base * height * length
Given that the volume is 136.25 cubic millimeters, the base is 5 millimeters, and the length is 10.9 millimeters, we can plug these values into the formula and solve for the height:
136.25 = (1/2) * 5 * height * 10.9
136.25 = 5.45 * height
height = 136.25 / 5.45
height ≈ 25 millimeters
Therefore, the height of the triangular face is approximately 25 millimeters.