Question

a right triangular prism is shown. what is the volume of the prism? 900 cubic units 1,020 cubic units 1,800 cubic units 2,312 cubic units

Explanation:

Step1: Find base - area of triangular base

The base of the right - triangular prism is a right - triangle with legs 15 and 8. The area formula for a triangle is $A=\frac{1}{2}bh$. Here, $b = 15$ and $h = 8$, so $A=\frac{1}{2}\times15\times8=60$.

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 15. So $V = 60\times15=900$.

Answer:

900 cubic units