Question

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

Explanation:

Step1: Calculate base - area of triangle

The formula for the area of a right - triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the right - triangle is $8$ cm and the height is $5$ cm. So, $A=\frac{1}{2}\times8\times5 = 20$ $cm^{2}$.

Step2: Calculate volume of prism

The formula for the volume of a prism is $V = A\times h$, where $A$ is the base - area and $h$ is the height of the prism. The height of the prism is $10$ cm. So, $V=20\times10 = 200$ $cm^{3}$.

Answer:

200