Find the mass of one meter of a cubic brick if one brick with dimensions of 2dm, 15 cm

Find the mass of one meter of a cubic brick if one brick with dimensions of 2dm, 15 cm, 0.1m has a mass of 2.7 kg.

1) Let’s express all measurements of a brick in the same units – meters:

2 dm = 20 cm = 0.2 m;

15 cm = 0.15 m.

2) Let’s calculate the volume of one brick as the product of its three dimensions:

0.2 * 0.15 * 0.1 = 0.003 m ^ 3.

3) Let 1 m ^ 3 bricks have a mass of x kg.

4) Let’s make a record:

1 m ^ 3 – x kg;

0.003 m ^ 3 – 2.7 kg.

5) Let’s compose and solve the proportion:

1: 0.003 = x: 2.7;

1 * 2.7 = 0.003 * x;

x = 2.7: 0.003;

x = 900.

6) Having decided the proportion, we find out that x = 900 kg is the mass of 1 m ^ 3 bricks.

Answer: 1 m ^ 3 has a mass of 900 kg.