Question

Find the volume of the prism

Answer 1

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 2

Volume of the prism is,
`17 m^3`

Explanation:

From the given figure: we have

The length of the prism
`l` 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;

`V=A \cdot l` or
`V=(1)/(2) bhl` cubic unit

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

`V=(1)/(2)\cdot 1 \cdot 2 \cdot 17`

On simplify, we get

`V = 17 m^3`

therefore, the volume of prism is,
`17 m^3`