Respuesta :

Answer:

7.35 g/cm^3

Explanation:

The mass of the block is:

[tex]m=0.150 kg=150 g[/tex]

While the sizes of the block are:

[tex]L_1 = 25.0 mm = 2.5 cm\\L_2 = 43.0 mm = 4.3 cm\\L_3 = 19.0 mm=1.9 cm[/tex]

So the volume is

[tex]V=2.5 cm \cdot 4.3 cm \cdot 1.9 cm =20.425 cm^3[/tex]

And now we can find the density by dividing the mass of the block by its volume:

[tex]d=\frac{m}{V}=\frac{150 g}{20.425 cm^3}=7.35 g/cm^3[/tex]

The density of the metallic block is equal to 7.34 g/cm3.

Density

To calculate the density of an object, its mass and volume must be related, so that:

                                                 [tex]d = \frac{m}{v}[/tex]

Now, transform the values ​​of the units, having:

                                          [tex]1kg = 1000g\\1mm = 0.1 cm[/tex]

                                      [tex]0.150kg \times 1000 = 150g[/tex]

                                       [tex]25mm \times 0.1 = 2.5cm\\43mm \times 0.1= 4.3cm\\19mm \times 0.1 = 1.9cm[/tex]

Finally, just apply the values ​​in the density expression, having:

                                             [tex]d = \frac{150}{2.5\times4.3\times1.9} \\d = 7.34 g/cm^{3}[/tex]

So, the density of the metallic block is equal to 7.34 g/cm3.

Learn more about density in: brainly.com/question/952755

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