Question

An unknown material has a mass of 2.75 g and a volume of 4 cm3. What is the density of the material? Round to the nearest tenth.

A) 1.7g/cm3

B) 0.6g/cm3

C) 1.5g/cm3

D) 0.7g/cm3

Answer 1

The density of the material is
`0.7 \mathrm{g} / \mathrm{cm}^(3)`

Answer: Option D

Step-by-step explanation:

Density of any material is defined as the amount of mass present in a specified volume. So density is directly proportional to the mass of the object and inversely proportional to the volume in which the mass is present.

So the density will be calculated as the ratio of mass to the volume. Thus as the mass of the unknown materials is given as 2.75 g present in a volume of
`4 \mathrm{cm}^(3)`, the density will be

`\text { Density }=\frac{\text {Mass}}{\text {Volume}}`

Thus,

`\text { Density }=(2.75)/(4)=0.7 \mathrm{g} / \mathrm{cm}^(3)`

Answer 2

The density of a material is given by:

`d= (m)/(V)`
where
d is the density
m is the mass of the sample
V is its volume

In our problem, the material has a mass of m=2.75 g and a volume of
`V=4 cm^3`, so its density is:

`d= (m)/(V)= (2.75 g)/(4 cm^3)=0.69 g/cm^3=0.7 g/cm^3`

So, the correct answer is D).