Answer:
4 inches
Step-by-step explanation:
In order to calculate the length of the base of a square pyramid you just have to work the formula backwards, you have the value for the height and the volume, the formula for the square pyramid is the next one:
\(V=\frac{Ab*H}{3}\)
And we just insert the values we know into the formula:
\(48=\frac{Ab*9}{3}\)
Now we clear the Ab from the formula:
\((48)(3)=Ab*9\)
\(\frac{(48)(3)}{9} =Ab\)
\(Ab=\frac{(144)}{9}\)
\(Ab=16\)
We know that the area of the base is equal to 16, and as we know the formula for the area of a square is:
\(Area=Side^{2}\)
So if the area is 16 we just calculate the square root and the length of the side is 4.
