Asquare pyramid with a height of 7 inches has volume of 47.25 cubic inches. find the side length of the square base

Hello,
Volume of the square pyramid=
1/3×B×h where B represent Base and h represent height

Now, substitute the information that we had from this problem into the formula.
47.25=1/3×B×7
Times 3 from both side
141.75=7B
Divide B from both side
B=20.25 square inches
B=s^2
Square root it to get
s=4.5 inches. As a result, the side length of square base is 4.5 inches. Hope it help!