Respuesta :

The base is a triangle. Rotate the paper 90 degrees to turn the figure up on its end. The area of the triangle is
A = b*h/2 = 2*1/2 = 2/2 = 1
So the area of the triangular base is 1 square meters

The volume is
Volume = (area of base)*(height of prism)
Volume = (1)*(17)
Volume = 17

So the volume of the triangular prism is 17 cubic meters

Answer:

Volume of the prism is, [tex]17 m^3[/tex]

Step-by-step explanation:

From the given figure: we have

The length of the prism [tex]l[/tex] be 17 m

In the right triangular cross-section,  we have the base (b) equals to 1 m and the height (h) equals to 2 m.

Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross section has base b units and height h units, then;

[tex]V=A \cdot l[/tex] or  [tex]V=\frac{1}{2} bhl[/tex] cubic unit

Putting the values of [tex]l =17 m[/tex] , b= 1 m and h= 2 m to get the volume(V);

[tex]V=\frac{1}{2}\cdot 1 \cdot 2 \cdot 17[/tex]

On simplify,  we get

[tex]V = 17 m^3[/tex]

therefore, the volume of prism is, [tex]17 m^3[/tex]