Find the volume of the prism.

The correct answer is first option.  270 m³

Step-by-step explanation:

Formula:

Volume of prism = Base area * Height

Area of triangle = bh/2  where b - base and h - height

From the figure we can see that height of prism = 36 m

Base is a right angled triangle with base 5 m and height = 3 m

To find the Base area

Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5

To find the volume of prism

Volume = Base area * height = 7.5 * 36 = 270 m³

Therefore the correct answer is first option . 270 m³

We must know that the volume of a triangular prism is the area of the base multiplied by the height.

Let's first identify our values:

36m = height of prism

5m = base of triangle

3m = height of triangle

First, we must know the formula to calculate the area of a triangle.

Area = base × height ÷ 2

5 is the base of the triangle and 3 is the height. 5 × 3 =15

15 ÷ 2 = 7.5

The area of the base is 7.5

The last step we have to do to find the area of the triangular prism is we multiply the area of the triangle by the height of the prism.

7.5 × 36 = 270

Therefore, the volume of the triangular prism is 270