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The properties of a cube are listed below:

Mass = 80 g
Length of side = 2 cm

What is the density of the cube?

Group of answer choices

640 g/cm3

20 g/cm3

160 g/cm3

10 g/cm3


Sagot :

Answer:

10 g/cm3

Explanation:

The density is equal to mass/volume

so Mass is 80g

and volume is 2*3=8

so density=80/8=10g/cm3

Answer:

[tex]\boxed {\boxed {\sf 10 \ g/cm^3}}[/tex]

Explanation:

We are asked to find the density of a cube. The density of a substance is its mass per unit volume. The formula for calculating density is:

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

We know the mass of the cube is 80 grams. We don't know the volume of the cube, but we can calculate it using the following formula.

  • [tex]v= s^3[/tex]

The side length (s) of the cube is 2 centimeters. Substitute this value into the formula.

  • [tex]v= (2 \ cm)^3[/tex]
  • [tex]v= (2 \ cm)* (2 \ cm)* ( 2 \ cm)[/tex]
  • [tex]v= 8 \ cm^3[/tex]

Now we know the mass and volume of the cube. We can substitute the values into the density formula.

  • m= 80 g
  • v= 8 cm³

[tex]\rho= \frac{80 \ g }{8 \ cm^3}[/tex]

Divide.

[tex]\rho= 10 \ g/cm^3[/tex]

The density of the cube is 10 grams per cubic centimeter.