Answer:
5 inches
Step-by-step explanation:
The volume is basically
Volume = area of base * height
For pyramid, that area would be [tex]\frac{1}{3}[/tex]
Since, this is square pyramid, the base is a square with side length b, so the area would be [tex]b^2[/tex]
Let height be h
Thus, we can write the formula for volume of square pyramid as:
Volume = [tex]\frac{1}{3}b^2h[/tex]
Where
b is side length of base square
h is height of pyramid
Now, given h = 3 and v = 25, we need to find b. let's substitute and figure it out using the formula:
[tex]V=\frac{1}{3}b^2 h\\25=\frac{1}{3}b^2 (3)\\25=b^2\\b=\sqrt{25}\\b=5[/tex]
Hence
the side length of the base of the square pyramid is 5 inches
