Question

Volume

5m
.
9 m
13 m
5 m
2.2 m
Calculate the Volume the triangular prism.

Answer 1

The volume of the triangular prism with a triangular base of dimensions 5m and 9m, and a length of 13m, is calculated as
`\(292.5 \, \text{cubic meters}\)` using the formula
`\((1)/(2) * \text{Base} * \text{Height} * \text{Length}\)`.

To calculate the volume of a triangular prism, we use the formula:

`\[ \text{Volume} = (1)/(2) * \text{Base} * \text{Height} * \text{Length} \]`

In this case, the triangular prism has a triangular base with a base length of 5 meters and a height of 9 meters. The length of the prism is 13 meters. Substituting these values into the formula:

`\[ \text{Volume} = (1)/(2) * 5 * 9 * 13 \]`

`\[ \text{Volume} = (1)/(2) * 45 * 13 \]`

`\[ \text{Volume} = (585)/(2) \]`

`\[ \text{Volume} = 292.5 \, \text{cubic meters} \]`

Therefore, the volume of the triangular prism is
`\(292.5 \, \text{cubic meters}\)`.

The question probable may be:

Calculate the volume of a triangular prism with a triangular base having dimensions of 5 meters and 9 meters for the base length and height, respectively. The length of the prism is 13 meters.