Question

Find the volume of the prism. If necessary, round your answer to the nearest hundredth.19 yd11 yd9 ydThe volume of the prism isJyd?

Answer 1

For the volume of a triangular prism, we have the following formula:

`V=A_b\cdot h`

where A_b is the area of the base and h is the height of the prism. Let's first calculate the area of the base of the prism. In this case, we have that:

`A_b=(x\cdot y)/(2)`

Where x=19 and y =9, then:

`A_b=(x\cdot y)/(2)=(19\cdot9)/(2)=85.5_{}`

Now that we have the area of the base, we can easily calculate the volume:

`\begin{gathered} V=A_b\cdot h \\ A_b=85.5_{} \\ h=11 \\ \Rightarrow A=85.5\cdot11=940.5 \\ A=940.5 \end{gathered}`

Therefore, the volume of the prism is 940.5 yd^3