Answer:
h = 18 cm
The height is 18 centimeters.
Step-by-step explanation:
According to the given formula,
[tex]V=\frac{1}{3}\cdot B\cdot h[/tex]Where,
V = volume,
B = area of base,
h = height
Since,
V = 216 cm³
and
B = 36 cm²
We can substitute these values in the formula and find h:
[tex]\begin{gathered} V=\frac{1}{3}\cdot B\cdot h \\ 216=\frac{1}{3}\cdot36\cdot h \\ 216=\frac{36}{3}\cdot h \\ 216=12\cdot h \\ \frac{216}{12}=h \\ h=18 \end{gathered}[/tex]Answer:
h = 18 cm
Since h represents the height,
The height is 18 centimeters.