Question

a triangular prism is shown below. the base is a right triangle. 8 cm 10 cm what is the volume of the triangular prism? cubic centimeters

Explanation:

Step1: Find area of base triangle

The base is a right - triangle with legs 6 cm and 8 cm. The area of a right - triangle $A_{base}=\frac{1}{2}\times base\times height$. Here, $A_{base}=\frac{1}{2}\times6\times8 = 24$ $cm^{2}$.

Step2: Calculate volume of prism

The volume of a prism $V = A_{base}\times h$, where $h$ is the height of the prism. The height of the prism is 10 cm. So $V=24\times10 = 240$ $cm^{3}$.

Answer:

240