Question

Find the volume for this shape

Answer 1

Answer:

The area of this triangular prism is equal to $144yd^{3}$

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...

$V = Bh$ (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...

$B = \frac{bh_{1}}{2}$ (where "b" is the base of the triangle, and $h_{1}$ is the height of the triangle. Now we just substitute the values and get...

$B = \frac{bh_{1}}{2} = \frac{(6)(4)}{2} = \frac{24}{2} = 12yd^{2}$

Now that we know what B equals, we just substitute the values in the first formula and get...

$V = Bh = (12)(12) = 144yd^{3}$