The volume of a rectangular parallelepiped is 1248 cm 3. Its length is 13 cm, and its width is 8.

The volume of a rectangular parallelepiped is 1248 cm3. Its length is 13 cm, and its width is 8. Find the height of the parallelepiped.

Recall that the volume of a rectangular parallelepiped is found as the product of the area of its base by its height.

V = S * h

Find the height

h = V / S

In turn, the area of the base is found as the product of its length and width.

S = a * b

h = V / S = V / (a * b)

Let’s find the height, knowing that the volume of the parallelepiped is 1248 cubic centimeters, and the length is 13 cm and the width is 8 cm.

h = 1248 / (13 * 8) = 1248/104 = 12 cm.

Answer: The height is 12 centimeters.