Answer:
The required expression for the volume of pyramid is [tex]V=\frac{2s^3}{9}[/tex]
Step-by-step explanation:
Consider the provided information.
A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side.
The volume of pyramid is: [tex]V=\frac{lwh}{3}[/tex]
Where, l is base length, w is base width and h is the height.
It is given that the base is square therefore, l=s and w=s.
The height of pyramid is [tex]\frac{2}{3}s[/tex]
Substitute the respective values in the above formula.
[tex]V=\frac{s\times s\times \frac{2s}{3}}{3}[/tex]
[tex]V=\frac{2s^3}{9}[/tex]
Hence, the required expression for the volume of pyramid is [tex]V=\frac{2s^3}{9}[/tex]
