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Cubes are three-dimensional square shapes that have equal sides. What is the density of a cube that has a mass of 12.6 g and a measured side length of 4.1 cm? (Density: D = )

A. .1828 g/cm3
B. .3254 g/cm3
C. 3.073 g/cm3
D. 68.92 g/cm3

Respuesta :

alexrocks4669

Answer:

A.  0.1828 g/cm³

Explanation:

Hi there,

Density's well known formula is Greek letter rho:   ρ [tex]=\frac{m}{V}= \frac{m}{a^3}[/tex]    where m is the mass, and V is volume. Since the volume in question is a cube, the volume of a cube is simply the edge length [tex]V =[/tex] [tex]a[/tex]³

[tex]V = (4.1 cm)[/tex]³ = 68.921 cm³

ρ [tex]= \frac{12.6 g}{68.921 cm^3}[/tex] = 0.1828 g/cm³

Thanks,

The density of a cube is .1828  g/cm³ that has a mass of 12.6 g and a measured side length of 4.1 cm.

Hence, Option (A) is correct answer.

What is Density ?

The substance per unit volume is called Density. SI unit of density is kg/m.

It is expressed as:

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

What is the Volume of cube ?

Volume of cube = a³

where

a = side length

Now put the value of side length in above formula

Volume of cube = a³

                           = (4.1)³

                           = 68.921 cm³

Now put the value in above formula to find the density

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

            = [tex]\frac{12.6\ g}{68.921\ cm^3}[/tex]

            = .1828 g/cm³

Thus from the above conclusion we can say that The density of a cube is .1828  g/cm³ that has a mass of 12.6 g and a measured side length of 4.1 cm.

Hence, Option (A) is correct answer.

Learn more about the Volume here: https://brainly.com/question/27100414

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