Answer:
The area of this triangular prism is equal to [tex]144yd^{3}[/tex]
Step-by-step explanation:
As it says in the question, the formula for the volume of this shape (triangular prism) can be found by the following formula...
[tex]V = Bh[/tex] (where B is the area of the triangular base, and h is the length between the two triangular bases of the prism)
Now we need to find out to what B equals to. In order to do this we need to know that area of a triangle can be found by using the following formula...
[tex]B = \frac{bh_{1}}{2}[/tex] (where "b" is the base of the triangle, and [tex]h_{1}[/tex] is the height of the triangle. Now we just substitute the values and get...
[tex]B = \frac{bh_{1}}{2} = \frac{(6)(4)}{2} = \frac{24}{2} = 12yd^{2}[/tex]
Now that we know what B equals, we just substitute the values in the first formula and get...
[tex]V = Bh = (12)(12) = 144yd^{3}[/tex]
