If h = 8 units, X = 9 units, Y = 7 units, and Z = 17 units, what is the volume of the triangular prism shown above?
To find the volume of a triangular prism, you can use the formula:
Volume = Area of the base x Height
First, we need to find the area of the triangular base. The area of a triangle can be calculated using the formula:
Area = 1/2 x base x height
Since the base of the triangle is X=9 units and the height is Y=7 units:
Area = 1/2 x 9 x 7 = 31.5 square units
Now, we can calculate the volume of the prism by multiplying the area of the base by the height of the prism:
Volume = Area of the base x Height = 31.5 x 8 = 252 cubic units
Therefore, the volume of the triangular prism is 252 cubic units.
nope
Sorry about that mistake.
Given that the base of the triangular prism is a right triangle with legs X = 9 units and Y = 7 units, the area of the base is:
Area = 1/2 x base x height
Area = 1/2 x 9 x 7
Area = 31.5 square units
The volume of the triangular prism is calculated by multiplying the area of the base by the height of the prism (Z = 17 units):
Volume = Area of the base x Height
Volume = 31.5 x 17
Volume = 535.5 cubic units
So, the correct volume of the triangular prism is 535.5 cubic units.