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A cube of iron with dimensions of 3.0 cm by 3.0 cm by 3.0 cm has a mass of 212 grams. What
is the density of the iron?​

Respuesta :

Answer:

7.85 g/cm³

Explanation:

Density is Mass/Volume

The mass is 212 grams

The volume is 27 cm³ (3 x 3 x 3 = 27)

212/27 = 7.851851852

We can estimate this to 7.85 g/cm³

The density of the iron is 7.85 g/cm³

Density is simply defined as the mass of a substance per unit volume of substance. It is expressed mathematically as:

[tex]Density = \frac{Mass }{Volume }[/tex]

To solve the question given above, we'll begin by calculating the volume of the iron. This can be obtained as follow:

Dimension = 3.0 cm by 3.0 cm by 3.0 cm

Volume = 3 × 3 × 3

Volume = 27 cm³

Thus, the volume of the iron is 27 cm³

Finally, we shall determine the density of the iron as follow:

Mass of iron = 212 g

Volume of iron = 27 cm³

Density =?

[tex]Density = \frac{Mass}{Volume } \\\\Density = \frac{212}{27}[/tex]

Density = 7.85 g/cm³

Therefore, the density of the iron is 7.85 g/cm³

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