Find the mass of a marble bar, the dimensions of which are 2 cm x 2 dm x 100 mm, if the mass of 1 dm³ of marble is 2700 g.

1. First, let’s translate all the dimensions of a piece of marble into decimeters, we get:
2 cm = 0.2 dm.
2 dm = 2 dm.
100 mm = 10 cm = 1 in.
2. Now let’s calculate the volume of a given piece of marble as the product of all its three dimensions, expressed in decimeters:
0.2 * 2 * 1 = 0.4 dm3.
3. Now let’s find out the mass of a given piece of marble by multiplying the weight of 1 dm3 by the volume of this piece of marble:
0.4 dm3 * 2700 g = 1080 grams.
Answer: we got the weight of a piece of marble equal to 1080 grams.