It is given that the volume of the pyramid is 700 cubic centimeters.
The Formula for the volume of square pyramid is given by:
[tex]V=\frac{1}{3}a^2h[/tex]Where a is the side of base and h is the height
Here V=700 and a=10 so it follows:
[tex]\begin{gathered} 700=\frac{1}{3}\times10^2\times h \\ h=\frac{2100}{100} \\ h=21 \end{gathered}[/tex]Hence the height of the pyramid is 21 centimeters.