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The density of an object with mass m and volume v is m/v​. Platinum is one of the densest materials on Earth. The mass of a 10-cubic-centimeter bar of platinum is 214.5 grams. What is the density of platinum?

a. 21.45 g/cm³
b. 21.45 g
c. 2145 g/cm³
d. 2145 g

User NightOwl
by
10.3k points

1 Answer

3 votes

Final answer:

The density of the platinum bar is 21.45 g/cm³. option A i correct answer.

Step-by-step explanation:

The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the platinum bar is given as 214.5 grams and the volume is 10 cubic centimeters. To find the density, we divide the mass by the volume: density = mass/volume = 214.5 g / 10 cm³ = 21.45 g/cm³. Therefore, the correct answer is a. 21.45 g/cm³.

To calculate the density (D) of an object, you can use the formula:

=

D=

v

m

where

m is the mass and

v is the volume.

In this case, you are given the mass (

m) of the platinum bar as 214.5 grams and the volume (

v) as 10 cubic centimeters.

=

214.5

g

10

cm

3

D=

10cm

3

214.5g

Now, simply divide the mass by the volume:

=

214.5

10

g/cm

3

D=

10

214.5

g/cm

3

=

21.45

g/cm

3

D=21.45g/cm

3

Therefore, the density of the platinum bar is

21.45

g/cm

3

21.45g/cm

3

.

User Fthomson
by
7.5k points