Question

12. 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, how tall is it? Use the formula V=Bh.

Answer 1

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

$V=\frac{1}{3}Bh\\\\B=a^2$

We know that

$V=432\\\\h=a-3$

we get

$432=\frac{1}{3} a^2\cdot (a-3)\\\\3\cdot 432=a^2\cdot (a-3)\\\\\implies a=12\\\\\implies h=a-3=12-3=9$

Therefore, the height of a square pyramid is 9 meters.