Formula of the volume of a rectangular pyramid:
[tex]V=\frac{l\cdot w\cdot h}{3}[/tex]
As you have the volume and the length and width of the base solve the equation above to h:
[tex]\begin{gathered} 3V=l\cdot w\cdot h \\ \frac{3V}{l\cdot w}=h \\ \\ \\ h=\frac{3V}{l\cdot w} \end{gathered}[/tex]
Use the given data and caclulate the height:
[tex]\begin{gathered} h=\frac{3(200cm^3)}{10\operatorname{cm}\cdot4\operatorname{cm}} \\ \\ h=\frac{600cm^3}{40cm^2} \\ \\ h=15\operatorname{cm} \end{gathered}[/tex]
Then, the height of the given pyramid is 15 centimeters
