A titanium bicycle frame contains the same amount of tita-
nium as a titanium cube measuring 6.8 cm on a side. Use
the density of titanium to calculate the mass in kilograms
of titanium in the frame. What would be the mass of a
similar frame composed of iron?

Respuesta :

Oseni

The mass of the titanium and that of iron would be 1.414 kg and 2.476 kg respectively.

First, there is a need to calculate the volume of the titanium cube:

Recall that:

 volume of a cube with side L = [tex]L^3[/tex]

In this case, L = 6.8 cm, thus

Volume of the titanium = [tex]6.8^3[/tex]

                                     = 314.432 cm3

Also, recall that:

density = mass/volume

Density of titanium = 4.5 g/cm3

Hence, mass of the titanium = density x volume

                                          = 4.5 x 314.432

                                             = 1414.94 g

1414.944 g = 1414.944/1000 kg

                   = 1.414 kg

If it were to be an iron, the density of iron is 7.874 g/cm3

mass of the iron = 7.874 x 314.432

                             = 2475.838 g

2475.838 g = 2475.838/1000

                    = 2.476 kg

More on density of substances can be found here: https://brainly.com/question/1632512

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