The area of the lower edge of the rectangular is 36 cm. Determine the height of this parallelepiped if its volume is 216 cm.

The volume of a rectangular parallelepiped (V) is determined as the product of the length (a) and width (b) of its base and height (h):

V = a * b * h.

The product of the length and width of the base is the area of the base of the parallelepiped, so you can write:

V = S * h.

Knowing the volume of the parallelepiped and the area of its base, you can calculate the height using the formula:

h = V: S.

Find the height of a given parallelepiped:

h = 216: 36 = 6 cm.

Answer: the height of the parallelepiped is 6 cm.