Question

Can someone please help me figure out how to find the volume of this shape?​

Answer 1

in plain and short, to get the volume of a triangular prism, we simply get the area of the triangular face and multiply that by the length.

in this case hmmm let's see the triangle has sides of 12, 12 and ... well, 12 again, is an equilateral triangle, so we get that area and multiply it by 17,

$\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=side's\\ \qquad length\\ \cline{1-1} s = 12 \end{cases}\implies A=\cfrac{12^2\sqrt{3}}{4}\implies A=36\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{volume of the triangular prism}}{(36\sqrt{3})(17)\approx 1060.02}~\hfill$

Answer 2

Answer:

The volume of the shape is 29376

Step-by-step explanation:

You multiply 12 x 17 and get 204 x 12 and get 2448 x 12 and get 29376.