A triangular pyramid has a triangle base of 24 cm, triangle height of 16 cm, and a pyramid height of 14 cm. what is the volume of triangular prism.
The faces of the pyramid are triangles. That would be the height of each face.
To find the volume of a triangular pyramid, you first need to calculate the volume of the triangular prism, which is the space occupied by the three-dimensional shape with a triangular base.
The formula to find the volume of a triangular prism is:
Volume = base area × height
To calculate the base area of the prism, we need to use the formula for the area of a triangle:
Area = 0.5 × base × height
In this case, the base length (or base) of the triangle is given as 24 cm, and the height of the triangle is given as 16 cm. Plugging in these values, we can calculate the base area:
Base area = 0.5 × 24 cm × 16 cm
= 192 cm²
Now that we have the base area, we can calculate the volume of the triangular prism by multiplying the base area by the prism height, which is given as 14 cm:
Volume = 192 cm² × 14 cm
= 2688 cm³
Therefore, the volume of the triangular prism is 2688 cubic centimeters (cm³).