Consider a triangular prism that has a triangular base with a base length of 6 cm and a height of 4 cm. The height of the prism itself is 10 cm. To find the volume of the triangular prism, you can use the formula:

$V = \frac{1}{2} \times b \times h_{b} \times h_{p}$,

where $b$ is the length of the base of the triangle, $h_{b}$ is the height of the triangle, and $h_{p}$ is the height of the prism. Calculate the volume of this prism.