Question

A block of metal with volume 13 m3 and density 5,500 kg/m3 is combined with another metal of mass 840 kg and volume 8.9 m3 to form an alloy.
What is the density of the alloy to the nearest integer?

Answer 1

Mass of the first metal = 5500×13

=71500kg

Mass of second metal = 840 kg

Sum of masses of both the metals = 82340kgs

volume of first metal = 13m³

volume of second metal = 8.9m³

Sum of volume of both the metals =21.9 m³

We know that Density is the mass per unit volume.

So,

Density of the alloy formed

=(82340/21.9)kg/m³

=3759.8173515982 kg/m³

Therefore,the Density of the alloy to the nearest integer is 3760 kg/m³