The problem asks to find the volume of a triangular prism. The base of the triangular prism is a triangle with base $6$ m and height $6$ m. The length of the prism is $10$ m.

1. Problem Description

The problem asks to find the volume of a triangular prism. The base of the triangular prism is a triangle with base $6$ m and height $6$ m. The length of the prism is $10$ m.

2. Solution Steps

The volume $V$ of a triangular prism is given by the formula:

$V = A \times l$

where $A$ is the area of the triangular base and $l$ is the length of the prism.

The area of a triangle is given by:

$A = \frac{1}{2} \times b \times h$

where $b$ is the base of the triangle and $h$ is the height of the triangle.

In this case, $b = 6$ m and $h = 6$ m. So,

$A = \frac{1}{2} \times 6 \times 6 = \frac{1}{2} \times 36 = 18$ m$^2$.

The length of the prism is given as $l = 10$ m.

So the volume of the prism is:

$V = A \times l = 18 \times 10 = 180$ m$^3$.

3. Final Answer

The volume of the prism is $180$ m$^3$.