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.
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?
1 answer