The length of the rectangular parallelepiped is 45 cm, the width is 4/9 of the length and 15/8 of the height.

The length of the rectangular parallelepiped is 45 cm, the width is 4/9 of the length and 15/8 of the height. Calculate the volume of the rectangular parallelepiped.

To find the fraction of a number, you need to multiply the given number by the numerator and divide by the denominator of the desired fraction.

To find a number by its fraction, you need to multiply this number by the denominator and divide by the numerator of the fraction.

Decision:

1) Find the width of the parallelepiped:

45 × 4: 9 = 20 (cm) – the width of the parallelepiped.

2) Find the height of the parallelepiped:

20 × 8: 15 = 10.7 (cm) – the height of the parallelepiped;

3) Find the volume:

45 × 20 × 10.7 = 9630 (see cube) – volume.

Answer: the volume of the parallelepiped is 9630 cm3.