Answer: [tex]\Large\boxed{B.~\displaystyle 75~m^3}[/tex]
Step-by-step explanation:
Given information
Height = 2 m
Base = 5 m
Length = 15 m
Given the formula for Triangular Prism Volume
[tex]V~=~\displaystyle \frac{1}{2}\times ~b~\times~h~\times~l[/tex]
[tex]\to V=Volume\\\to b=base\\\to h = height\\\to l = length[/tex]
Substitute values into the formula
[tex]V~=~\displaystyle \frac{1}{2}\times ~(5)~\times~(2)~\times~(15)[/tex]
Simplify by multiplication
[tex]V~=~\displaystyle \frac{5}{2}~\times ~30[/tex]
[tex]\Large\boxed{V~=~\displaystyle 75~m^3}[/tex]
Hope this helps!! :)
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