Question

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

Answer 1

10 g/cm3

Step-by-step 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 2

`\boxed {\boxed {\sf 10 \ g/cm^3}}`

Step-by-step 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:

`\rho= (m)/(v)`

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.

• 
  `v= s^3`

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

• 
  `v= (2 \ cm)^3`

• 
  `v= (2 \ cm)* (2 \ cm)* ( 2 \ cm)`

• 
  `v= 8 \ cm^3`

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

`\rho= (80 \ g )/(8 \ cm^3)`

Divide.

`\rho= 10 \ g/cm^3`

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