The alloy is made of 0.4 m ^ 3 copper and 714 kg zinc. What is the density of the alloy?

Vm = 0.4 m3.

mts = 714 kg.

ρm = 8920 kg / m3.

ρc = 7140 kg / m3.

ρ -?

The density of a substance ρ is the ratio of its mass m to the volume V it occupies: ρ = m / V.

It is necessary to find the mass m and volume V of the alloy.

m = mm + mts, V = Vm + Vts.

mm = Vm * ρm, Vts = mts / ρts.

We take the density of copper and zinc in the table of the density of metals: ρm = 8920 kg / m3, ρc = 7140 kg / m3.

mm = 0.4 m3 * 8920 kg / m3 = 3568 kg.

Vc = 714 kg / 7140 kg / m3 = 0.1 m3.

m = 3568 kg + 714 kg = 4282 kg.

V = 0.4 m3 + 0.1 m3 = 0.5 m3.

ρ = 4282 kg / 0.5 m3 = 8564 kg / m3.

Answer: the resulting alloy has a density ρ = 8564 kg / m3.