The volume of a rectangular parallelepiped is 432 dm. Find its height if the length and width are 9 dm and 12 dm.

The volume of a rectangular parallelepiped can be calculated using the formula:

V = a * b * c, where V is the volume of the rectangular parallelepiped (V = 432 dm3), a is the length of the parallelepiped (a = 12 dm), b is the width of the parallelepiped (b = 9 dm), c is the height of the parallelepiped.

Let’s express and calculate the height of the parallelepiped:

c = V / (a * b) = 432 / (12 * 9) = 4 dm.

Answer: The height of a rectangular parallelepiped is 4 decimetres.