The width of the rectangular parallelepiped is 7.2 cm, which is 3/4 of the length and 4/5 of the height.

The width of the rectangular parallelepiped is 7.2 cm, which is 3/4 of the length and 4/5 of the height. Find the volume of a rectangular parallelepiped.

1. First, let’s calculate the length. If the width of a rectangular parallelepiped is 7.2 cm and is 3/4 of its length, then to find the length, we divide the width by 3/4:
7.2 / 3/4 = 7.2 x 4/3 = 9.6 (cm).
2. Find the height in the same way:
7.2 / 4/5 = 7.2 x 5/4 = 9 (cm).
3. Knowing all three dimensions of a rectangular parallelepiped, you can easily calculate its volume:
9.6 x 7.2 x 9 = 622.08 (cm³).
Or approximately, rounded to tenths, the volume will be equal to 622.1 cm³.
Answer: the volume of this rectangular parallelepiped is approximately 622.1 cm³.