In a regular rectangular parallelepiped, the total area is 80 cm2, the base area is 16 cm2, find the height.

Find the side of the square that lies at the base of the figure.
√16 = 4 cm.
Let’s find the area of the lateral surface of the parallelepiped as the difference between the total area and twice the area of the base.
80 – 2 * 16 = 80 – 32 = 48 cm2.
Find the area of one of the four identical side faces of a regular rectangular parallelepiped.
48: 4 = 12 cm.
Let’s find the height of the parallelepiped.
12: 4 = 3 cm.
Check: 16 * 3 = 48 cm.
Answer: the height of the parallelepiped is 3 cm.