What is the volume of a rectangular parallelepiped if its length is 5dm 4cm, width -1dm 8cm, and height -12cm?

To begin with, let’s translate all the values into cm.Recall that 1 dm = 10 cm:

5 dm 4 cm = 54 cm;

1dm 8cm = 18cm;

Formula for the volume of a rectangular parallelepiped:

V = S * h;

Let’s find the area of the base of our parallelepiped:

S = 54 * 18 = 972 cm ^ 2.

Now let’s find the volume:

V = 972 * 12 = 11664 cm ^ 3.

Answer: the volume of a rectangular parallelepiped is 11664 cm ^ 3.