212k views
2 votes
If the height of a pyramid is cut in half what happens to the volume of the pyramid

User Basith
by
8.8k points

2 Answers

5 votes

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

what would you get for the fraction, simplified? does it say 1/3? does it change?
User Aracelys
by
8.1k points
5 votes
The formula for the volume of a pyramid is:


Volume=(length*width*height)/(3)

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


V= (3*3*6)/(3) =18

Now, let's pretend the height is 3.


V= (3*3*3)/(3) =9

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


User Medmo
by
8.0k points

No related questions found