if a triangular prism is 540 and a congruent pyramid is the same whats the volume of the triangular pyramid
To find the volume of a triangular prism, we need to use the formula:
Volume = (1/3) * base area * height
Since the base of the triangular prism is a triangle, we need to find the area of the triangle. Let's assume the base of the triangular prism is an equilateral triangle with side length 10 units (this is just an example to demonstrate the calculation).
The area of an equilateral triangle can be calculated using the formula:
Area = (sqrt(3)/4) * side^2
Area = (sqrt(3)/4) * 10^2 = 25 * sqrt(3) sq units
Now, let's substitute the values into the volume formula:
Volume = (1/3) * 25 * sqrt(3) * 540 = 13500 * sqrt(3) cubic units
Therefore, the volume of a congruent triangular pyramid would also be 13500 * sqrt(3) cubic units.