2. Volume of triangular prism is 20 cm^3. The base triangle has an area of 5cm^2. What is the height of the prism?
To find the height of the prism, we can use the formula for the volume of a triangular prism:
Volume = (1/2) * base area * height
Given that the volume is 20 cm^3 and the base area is 5 cm^2, we can substitute these values into the formula:
20 = (1/2) * 5 * height
Simplifying, we get:
20 = 2.5 * height
Dividing by 2.5 to solve for height:
height = 20 / 2.5
height = 8
Therefore, the height of the triangular prism is 8 cm.