What is the volume of this triangular prism?22.4 cm18.1 cm28 cm313.6 cm3506.8 cm35,676.16 cm311,352.32 cm3

Accepted Solution

Answer:[tex]V=5,676.16cm^3[/tex]Step-by-step explanation:The volume of a triangular prism is defined by the formula:[tex]V=(area-of-base)*(length)[/tex]In this case the base is triangular and the area of a triangle is: [tex]A=\frac{1}{2}(base)*(height)[/tex]Then the volume is:[tex]V=\frac{1}{2}(base*height*length)[/tex]Now we have to replace with the given values:[tex]V=\frac{1}{2}(22.4cm*18.1cm*28cm)\\\\V=\frac{1}{2}(11,352.32cm^3)\\\\V=5,676.16cm^3[/tex]Then the correct answer is the third option. [tex]V=5,676.16cm^3[/tex]