Find the volume of the prism
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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]