Respuesta :

The volume of a triangular prism is V = 1/2lwh. So, in order to find x, plug in the values you know and solve:
[tex]576 = \frac{1}{2}*8*8*x [/tex]
[tex]1152 = 64x[/tex]
[tex]x = 18[/tex]
The formula for the volume of this shape is: length * width * height/2

Knowing this, we can set up this equation:

[tex]576= \frac{8*8*x}{2} [/tex]

Now, we can solve for x.  I will start by multiplying the 8s and then divide both sides by two.

[tex]1152=64x[/tex]

Next, we divide both sides by 64 to find x.

[tex]x = 18[/tex]

So, x is equal to 18 cm.