Question

Find the volume of the following triangular prism. *15 points5 in6,1 in13 in7 in215.5 cubic inches220.5 cubic inches225.5 cubic inches227.5 cubic inches

Answer 1

Given:

The length of the base of the triangular base of the prism, b=7 in.

The altitude of the triangular base, l=5 in.

The height of the prism, h=13 in.

Now, the volume of the prism can be calculated as,

`\begin{gathered} V=\text{ Base Area}* height \\ =(1)/(2)bl* h \\ =(1)/(2)*7*5*13 \\ =227.5\text{ cu. in} \end{gathered}`

Therefore, the volume of the triangular prism is 227.5 cu. in.