Answer:
Therefore, the height of a square pyramid is 9 meters.
Step-by-step explanation:
We know that the height of a square pyramid is 3 meters shorter than the side of its base. If the volume of the pyramid is 432 m3.
We have the formula
[tex]V=\frac{1}{3}Bh\\\\B=a^2[/tex]
We know that
[tex]V=432\\\\h=a-3\\[/tex]
we get
[tex]432=\frac{1}{3} a^2\cdot (a-3)\\\\3\cdot 432=a^2\cdot (a-3)\\\\\implies a=12\\\\\implies h=a-3=12-3=9\\\\[/tex]
Therefore, the height of a square pyramid is 9 meters.
