Question

what is the volume of the prism below? a. 150 units³ b. 85 units³ c. 75 units³ d. 154 units³

Explanation:

Step1: Find the base - area of the triangular base

The base is a right - triangle with base $b = 3$ and height $h = 5$. The area of a triangle is $A=\frac{1}{2}bh$. So, $A=\frac{1}{2}\times3\times5=\frac{15}{2}$.

Step2: Calculate the volume of the prism

The volume of a prism is $V = A\times l$, where $A$ is the base - area and $l$ is the length of the prism. Here, $l = 10$. So, $V=\frac{15}{2}\times10 = 75$.

Answer:

C. 75 units$^{3}$