Answer and Step-by-step explanation:
Since we know that this figure is a square pyramid, the base is a square. And the area of a square is its side multiplied by its side, which the sides would equal the same (since it is a square).
So, we square 625 to find One side of the square.
[tex]\sqrt{625} = 25[/tex]
We get 25 as the side.
The volume equation for a square pyramid is:
[tex]V = a^{2}( \frac{h}{3} )[/tex]
Where a is the side length of the base, and h is the height.
Plug in the values.
[tex]V = (25)^{2} (\frac{30}{3} )\\\\V = 625(10)\\\\V = 6250[/tex]
The volume of the square pyramid is 6250 cubic meters.
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