What is the density of a piece of metal in g/cm3 if its mass is determined to be 42.20 g and it is in the shape of a cube, with edge length of 2.50 cm?

Respuesta :

It's a cube so the volume = edge^3
Volume = 2.5^3 cm^3 = 15.625 cm^3

density = mass / volume = 42.20 / 15.625 = 2.70 You have 3 places of accuracy.

density of object = 2.70 grams / cm^3 <<<<=== answer.

Answer : The density of a piece of metal is [tex]2.7008g/cm^3[/tex]

Explanation :

To calculate the volume of cube, we use the formula:

[tex]V=a^3[/tex]

where,

a = edge length of cube

Given :

Edge length of cube = 2.50 cm

Volume of cube = [tex](2.50cm)^3=15.625cm^3[/tex]

Given :

Mass of metal = 42.20 g

To calculate density of a substance, we use the equation:

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

Putting values in above equation, we get:

[tex]\text{Density of metal}=\frac{42.20g}{15.625cm^3}=2.7008g/cm^3[/tex]

Hence, the density of a piece of metal is [tex]2.7008g/cm^3[/tex]

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