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:
[tex]V=\frac{Ab*H}{3}[/tex]
And we just insert the values we know into the formula:
[tex]48=\frac{Ab*9}{3}[/tex]
Now we clear the Ab from the formula:
[tex](48)(3)=Ab*9[/tex]
[tex]\frac{(48)(3)}{9} =Ab[/tex]
[tex]Ab=\frac{(144)}{9} [/tex]
[tex]Ab=16[/tex]
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:
[tex]Area=Side^{2}[/tex]
So if the area is 16 we just calculate the square root and the length of the side is 4.
