The volume of the triangular prism with a base triangle with sides 7 units and 3 units, and a prism height of 7 units is 73.5 cubic units.
To calculate the volume of a triangular prism, you can use the formula V = Ah, where A is the area of the triangular base and h is the height of the prism. In this case, we're given the dimensions of the triangular prism, with the prism's height h = 7 units, and the dimensions of the triangular base, X = 7 units, Y = 3 units, and Z = 20 units. However, the third dimension of the triangular base, Z, is not necessary for calculating the triangular area since only the base and height of the triangle are required.
First, we find the area of the triangular base using the formula for the area of a triangle, A = 1/2 * base * height, which in this problem is A = 1/2 * X * Y. Thus, the area A = 1/2 * 7 * 3 = 10.5 square units.
Next, we multiply this area by the prism's height to find the volume:
V = 10.5 square units * 7 units = 73.5 cubic units.
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