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:

$A_b=\frac{x\cdot y}{2}$

Where x=19 and y =9, then:

$A_b=\frac{x\cdot y}{2}=\frac{19\cdot9}{2}=85.5_{}$

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