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Recall the formula for the volume of a prism.
539 m^3
Let's see the given measurements on the triangular prism.
The base of the prism is a right triangle. The legs of this triangle are a= 7meters and b= 11 meters long. Therefore we can calculate the area B of the base using the formula for area of a triangle.
The volume of a triangular prism can be calculated using the following formula. Here B is the area of the base and h is the height of the prism. V= Bh We are given that h= 14 and we already calculated the area of the base of the prism, B= 38.5. Now we have enough information to calculate the value of V.
The volume of the prism is 539 cubic meters.