Question

Find the volume of the prism.

Answer 1

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
`m^(3)`

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
`m^(3)`

Therefore, the volume of the triangular prism is 270
`m^(3)`

Answer 2

The correct answer is first option. 270 m³

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