Final answer:
To find the volume of a triangular prism, multiply the base area by the height. The formula for the volume of a prism is V = base area x height. In this case, the base is a triangle, so calculate the area using the formula for the area of a triangle. Substitute the values and multiply the base area by the height to find the volume.
Step-by-step explanation:
To find the volume of a triangular prism, we need to multiply the base area by the height. The formula for the volume of a prism is:
V = base area x height
In this case, the base of the prism is a triangle, so we calculate the area using the formula for the area of a triangle:
area = (base x height) / 2
Substituting the given measurements, we have:
base = 3 cm, height = 4 cm, height of prism = 11 cm
First, find the area of the triangle: area = (3 cm x 4 cm) / 2 = 6 cm².
Then, multiply the base area by the height of the prism: volume = 6 cm² x 11 cm = 66 cm³.