Answer:
correct choice is option d [tex]v=2/9*s^3[/tex]
Step-by-step explanation:
volume of pyramid is given by 1/3(Area of base* height)
Given base of pyramid is square with length of each side s
area of square is given by [tex]side^2[/tex]
Thus, area of base of pyramid = [tex]s^2[/tex]
Height of pyramid = 2/3 of side of base of pyramid = 2/3* s = 2s/3
Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)
= [tex]1/3(s^2*2s/3)[/tex]
= [tex]2/9*s^3[/tex]
Thus, correct choice is option d [tex]v=2/9*s^3[/tex]
