Respuesta :

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.