Respuesta :

SOLUTION

Step 1 :

In this question, we are asked to find the volume of the Triangular Prism

We have the volume of the Triangular Prism =

[tex]\text{Volume of Triangular Prism = Area of Base X Height}[/tex]

Step 2 :

For the Area of Base, we have that :

[tex]\begin{gathered} \frac{1}{2\text{ }}\text{ x Base X Height} \\ \text{Base = 12 }mm\text{ = 1. 2 cm} \\ \text{Height = 2. 5 cm} \\ \text{Area of Base = }\frac{1}{2}\text{ x 1. 2 x 2. 5 } \\ =\text{ }\frac{3}{2}=1.5cm^2 \end{gathered}[/tex]

Step 3 :

The volume of the Prism =

[tex]\begin{gathered} \text{Area of Base X Height} \\ \text{Area of Base = 1.5 cm}^2 \\ \text{Height = 4 cm} \\ \text{Volume of the Prism = 1. 5 cm}^2\text{ X 4cm} \\ =6cm^{3\text{ }}(\text{ OPTION D )} \end{gathered}[/tex]

CONCLUSION :

The volume of the Triangular pr