If h = 7 units, X = 8 units, Y = 7 units, and Z = 16 units, what is the volume of the triangular prism shown above?
To find the volume of a triangular prism, you multiply the area of the base triangle by the height of the prism.
First, we need to find the area of the base triangle. The base triangle is a right triangle with sides X and Y, so we can use the formula for the area of a right triangle: (1/2) * base * height.
Base = X = 8 units
Height = Y = 7 units
Area of the base triangle = (1/2) * 8 * 7 = 28 square units
Now, we can find the volume of the prism by multiplying the area of the base triangle by the height of the prism:
Volume = area of base triangle * height of prism
Volume = 28 square units * 7 units
Volume = 196 cubic units
Therefore, the volume of the triangular prism is 196 cubic units.