The density of gold is 19.3 g/cm^{3}. a. What is the



Answered question


The density of gold is 19.3gcm3.
a. What is the volume, in cubic centimeters, of a sample of gold that has a mass of 0.715 kg?
b. If this sample of gold is a cube, what is the length of each edge in centimeters?

Answer & Explanation

Stuart Rountree

Stuart Rountree

Beginner2022-01-13Added 29 answers

Step 1
Answer to part (a):
We must determine the volume of the material given in this part, and to do so, we will apply the relationship shown below:
Volume=MassDensity (1)
Given, mass=0.715kg and density=19.3gcm3
In order to calculate the density in cm3, we will first convert the mass in gram, for which we will use the below relation :
0.715kg×1000g1kg=715g (2)
Step 2
Answer to part (a): Given, mass=715g and density=19.3gcm3
Putting above given values in equation (1) and rounding off the volume to 3 significant digits, we get :
Volume=715g19.3gcm3=37.0cm3 (3)
Answer to part (b):
In order to determine the length of each edge of the gold (cube) in this problem, we will use the relationship shown below:
Volume of gold=(length of each edge of gold)3 (4)
As calculated in the above subpart that the volume of the gold=37.0cm3, putting this to equation (4), we get :
length=(37cm 3)1/3=3.33cm (5)



Beginner2022-01-14Added 38 answers

a.) The given mass should first be converted from kilograms to grams.
0.715kg(1kg1000g)=715g ​
To solve for the volume, divide the converted mass by the given density
715g19.3g/cm 3=37.0m3
b.) The formula for the volume of a cube is vcube=(sides)3
to solve for the length of each side of a cube, take the cube root of the volume

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?