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: Calculate the area of the triangular base

The formula for the area of a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base of the triangle is 15 and the height is 8. So, $A = \frac{1}{2}\times15\times8=\frac{1}{2}\times120 = 60$.

Step2: Calculate the volume of the prism

The formula for the volume of a prism is $V=A\times length$. The area of the base $A = 60$ and the length of the prism is 15. So, $V=60\times15=900$.

Answer:

900 cubic units