Question

1. This cube is 2.0 cm on each side. Its mass is 72 g.
What is its volume, and its density?

Answer 1

V = 8 cm

Density = 0.9 kg/m^3

Step-by-step explanation:

Volume = s^3 (for cubes)

s = 2

v = s^3 = 8

density = mass/volume

mass = 0.072 kg

volume = 0.08 meters^3

d = 0.072/0.08 = 0.9

d = 0.9 kg/m^3

Answer 2

`\boxed {\sf v= 8.0 \ cm^3}`

`\boxed {\sf d=9 \ g/cm^3}}`

Step-by-step explanation:

1. Volume

First, we must find the cube's volume. The volume is the amount of space an object takes up. The formula for a rectangular prism's volume is length times width times height. Since a cube has equal sides, it is simply the side length cubed.

`v= s^3`

The cube has a side length of 2.0 centimeters on each side.

• s= 2.0 cm

`v= (2.0 \ cm)^3`

`v= 2.0 \ cm * 2.0 \ cm *2.0 \ cm`

`v= 8.0 \ cm^3`

2. Density

Next, we must find the cube's density. The density is the mass per unit volume. The formula is mass over volume.

`d= (m)/(v)`

The mass of the cube is 72 grams and we just calculated the density to be 8.0 cubic centimeters.

• m= 72 g
• v= 8.0 cm³

`d= ( 72 \ g)/(8.0 \ cm^3)`

`d= 9 \ g/cm^3`

The volume of the cube is 8 cubic centimeters and the density is 9 grams per cubic centimeters.