Question

what is the volume of the triangular prism? cubic centimeters a triangular prism is shown below. the base is a right triangle.

Explanation:

Step1: Calculate base - area of the prism

The base is a right - triangle with legs 8 cm and 10 cm. The area formula for a triangle is $A=\frac{1}{2}bh$. Here, $b = 10$ cm and $h = 8$ cm, so $A=\frac{1}{2}\times10\times8=40$ $cm^{2}$.

Step2: Calculate the volume of the prism

The volume formula for a prism is $V = Ah$, where $A$ is the base - area and $h$ is the height of the prism. The height of the prism is 10 cm. So $V=40\times10 = 400$ $cm^{3}$.

Answer:

400