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?
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.
[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.