Respuesta :

[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh\qquad \begin{cases} B=base\\ h=height\\ -------\\ h=\frac{h}{2} \end{cases}\implies V=\cfrac{1}{3}B\cdot \cfrac{h}{2}[/tex]

what would you get for the fraction, simplified? does it say 1/3? does it change?
The formula for the volume of a pyramid is:

[tex] Volume=\frac{length*width*height}{3} [/tex]

Let's pretend that we have a pyramid with a length of 3 and a width of 3 and a height of 6.  If we plug this into the formula, we get

[tex]V= \frac{3*3*6}{3} =18[/tex]

Now, let's pretend the height is 3.

[tex]V= \frac{3*3*3}{3} =9[/tex]

9 is half of 18.  This works for any numbers you plug in.  If you half the height, than the volume is also halved.