kailymartin8999 kailymartin8999
  • 27-02-2020
  • Mathematics
contestada

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.

Respuesta :

vlatkostojanovic
vlatkostojanovic vlatkostojanovic
  • 28-02-2020

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.

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