Find the mass of 1m³ of a concrete block if one block with dimensions of 5dm, 1.6dm, 60cm has a mass of 321.6kg.

1) Let’s translate the given measurements of the concrete block into meters:

5 dm = 0.5 m;

1.6 dm = 0.16 m;

60 cm = 6 dm = 0.6 m.

2) Let’s calculate the volume of a concrete block as the product of its measurements:

0.5 * 0.16 * 0.6 = 0.048 m ^ 3.

3) Let the mass of 1 m ^ 3 of a concrete block be x kg.

4) Let’s make a record:

1 m ^ 3 – x kg;

0.048 m ^ 3 – 321.6 kg.

5) Let’s compose and solve the proportion:

1: 0.048 = x: 321.6;

1 * 321.6 = 0.048 * x;

x = 321.6: 0.048;

x = 6700.

6) We learn that 1 m ^ 3 of a concrete block has a mass equal to 6700 kg.

Answer: 6700 kg.