The height of a rectangular parallelepiped is 1.5 times greater than its width and 1.5 times

The height of a rectangular parallelepiped is 1.5 times greater than its width and 1.5 times less than its length. find the volume of a parallelepiped if its width is 0.4 dm.

First of all, let’s designate the length of the rectangular parallelepiped as a, width as b, and height as c. Then, taking into account that 1 dm = 10 cm, in accordance with the condition of the task given here, we get:

b = 0.4 dm = 4 cm;

c = 1.5 * b = 1.5 * 4 = 6 cm;

a = 1.5 * c = 1.5 * 6 = 9 cm.

Now let’s remember what the formula for calculating the volume of a rectangular parallelepiped looks like:

V = a * b * c

Then we get:

V = 4 * 6 * 9 = 216 (cm 3).

Now let’s convert to dm 3 (1 dm 3 = 1000 cm 3):

V = 216 cm 3 = 0.216 (dm 3).