What part of one meter in a cube is 1 decimeter in a cube?

Let’s remember the main units of measurement of volume and their relationship:

1 m3 = 100 cm * 100 cm * 100 cm = 1,000,000 cm3 = 1,000 dm3;

1 dm3 = 10 cm * 10 cm * 10 cm = 1000 cm3;

1 cm3 = 10 mm * 10 mm * 10 mm = 1000 mm3.

The unknown part, which is 1 dm3 of 1 m3, is denoted by the letter X.

In proportion we contrast 1000 dm3, as constituting 1 m3, and 1 dm3, as X part of 1 m3.

From the proportion, we determine the unknown part:

1000 dm3 – 1 m3;

1 dm3 – is X part of 1 m3;

X = 1 dm3 * 1 m3 / 1000 dm3 = 1/1000 m3.

Answer: 1 dm3 is 1/1000 m3.