Question

What is the volume of the following triangular prism? 60 cm^312 cm^33.75 cm^36 cm^3

Answer 1

Step 1 :

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

We have the volume of the Triangular Prism =

`\text{Volume of Triangular Prism = Area of Base X Height}`

Step 2 :

For the Area of Base, we have that :

`\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 = }(1)/(2)\text{ x 1. 2 x 2. 5 } \\ =\text{ }(3)/(2)=1.5cm^2 \end{gathered}`

Step 3 :

The volume of the Prism =

`\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}`

CONCLUSION :

The volume of the Triangular pr