You have a sample of each of the following five metals, with the mass and density
of each sample given. Which sample has the largest volume?
A) Aluminum, mass = 135 g, d = 2.7 g/cm
B) Copper, mass = 305 g, d = 8.92 g/cm
C) Iron, mass = 240 g, d = 7.86 g/cm?
D) Magnesium, mass = 75 g, d = 1.74 g/cm
E) Silver, mass = 420 g, d = 10.5 g/cm

Respuesta :

Answer:

E) Silver, mass = 420 g, d = 10.5 g/cm.

Explanation:

Hello,

In this case, since the density is defined by:

[tex]\rho =\frac{m}{V}[/tex]

Given the mass and density, we compute the volume via:

[tex]V=\rho *m[/tex]

Thus, for each vase we have:

A) [tex]V=135g*2.7g/cm^3=364.5cm^3[/tex]

B) [tex]V=305g*8.92g/cm^3=2720.6cm^3[/tex]

C) [tex]V=240g*7.86g/cm^3=1886.4cm^3[/tex]

D) [tex]V=75g*1.74g/cm^3=130.5cm^3[/tex]

E) [tex]V=420g*10.5g/cm^3=4410cm^3[/tex]

In such a way, the largest volume corresponds to E) Silver, mass = 420 g, d = 10.5 g/cm.

Best regards.