Question

An object is a regular, rectangular, solid with dimensions of 2 cm by 3cm by 2cm. It has a

mass of 24 g. Find its density.

Answer 1

2

Step-by-step explanation:

Density = mass/volume

m=24

v=2*3*2=12

24/12=2

Answer 2

`\boxed {\tt d= 2 \ g/cm^3}`

Step-by-step explanation:

Density can be found using the following formula.

`d=(m)/(v)`

where
`m` is the mass and
`v` is the volume.

We know the mass is 24 grams. We must find the volume.

Since it is a rectangle, the volume can be found using the following formula.

`v=l*w*h`

The length is 2 centimeters, the width is 3 centimeters and the height is 2 centimeters.

`v= 2 \ cm * 3 \ cm * 2\ cm`

`v= 6 \ cm^2 * 2\ cm`

`v= 12 \ cm^3`

Now we know the volume, and can substitute it into the density formula.

`d=(m)/(v)`

`m= 24 \ g\\v= 12 \ cm^3`

`d=(24 \ g)/(12 \ cm^3)`

`d= 2 \ g/cm^3`

The density is 2 grams per cubic centimeter.