Find the mass of 1m3 of the alloy if the ingot of this alloy, which has the shape of a rectangular

Find the mass of 1m3 of the alloy if the ingot of this alloy, which has the shape of a rectangular parallelepiped with dimensions of 2.9 dm, 15 cm and 0.8 m, has a mass of 281.88 kg.

In order to find the mass of an ingot, the volume of which is known, it is necessary to know the density of the materials from which this ingot is made.

We can find the density from the mass of an ingot that has the shape of a rectangular parallelepiped.

To do this, we will find its volume.

Let’s translate all parameters into one unit of measurement – in a meter.

2.9 dm = 0.29 m.

15 cm = 0.15 m.

The volume is: V = 0.29 * 0.15 * 0.8 = 0.0348 m³.

Then the density is equal to:

ρ = 281.88: 0.0348 = 8100 (kg / m³).

Now we can calculate the mass of our ingot:

m = 8100 * 1 = 8100 kg.

Answer: 8100 kg.