The width of a rectangular parallelepiped is 5 whole one-third cm, its length is times its width

The width of a rectangular parallelepiped is 5 whole one-third cm, its length is times its width, and its height is 30% of its length. Calculate the volume of the parallelepiped.

1. Determine the length of the parallelepiped:

(5.1 / 3) x 2 = (16/3) x 2 = 32/3 = 10.2 / 3 cm;

2. Determine the height of the parallelepiped. We take the height as a and make up the proportion:

10.2 / 3 cm – 100%, and cm – 30%;

10.2 / 3: a = 100: 30;

a = (30 x 10.2 / 3): 100;

a = 3.2 cm;

3. Determine the volume of the parallelepiped:

5.1 / 3 x 10.2 / 3 x 32 = 16/3 x 32/3 x 3.2 = (16 x 32 x 3.2): (3 x 3) = 182.04 cm³.

Answer: 182.04 cubic centimeters is the volume of this parallelepiped.