The density of an object is calculated using the formula D=V/M, where M is the object's mass and V is its volume. Gold has a density of 19.3 g/cm^3. What is the volume of an amount of gold that has a mass of 96.5 g?
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OpenStudy (joannablackwelder):
Substitue the values into the formula.
OpenStudy (joannablackwelder):
Since the units of mass cancel, you don't have to do any conversions.
OpenStudy (joannablackwelder):
Hold on a sec. Your equation is wrong....
OpenStudy (joannablackwelder):
Density=mass/volume
OpenStudy (anonymous):
Oh yeah! I meant that
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OpenStudy (joannablackwelder):
Ok,just checking! Haha
OpenStudy (joannablackwelder):
19.3=96.5/V
OpenStudy (joannablackwelder):
Can you solve for V?
OpenStudy (anonymous):
Do I multiply 96.5 to both sides?
OpenStudy (joannablackwelder):
Multiplying by 96.5 makes
96.5*19.3=96.5*96.5/V
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OpenStudy (joannablackwelder):
Does that help us solve?
OpenStudy (anonymous):
So the answer will be 1,862
OpenStudy (joannablackwelder):
That 's not what I get.
OpenStudy (joannablackwelder):
To solve the equation you need to first multiply by V to get the variable in the numerator.
OpenStudy (joannablackwelder):
You can't solve for a variable as long as it is in the denominator.
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OpenStudy (joannablackwelder):
That gets us to 19.3V=96.5
OpenStudy (joannablackwelder):
Make sense?
OpenStudy (joannablackwelder):
@annisasdfghjkl ?
OpenStudy (anonymous):
So multiply V where?
OpenStudy (joannablackwelder):
I should have said multiply V to both sides.
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OpenStudy (wolf1728):
D = M / V
19.3 g/cm^3 = 96.5 g / V
V = 96.5 g / 19.3 g / cm^3
V= ?
OpenStudy (anonymous):
Ohh okay
OpenStudy (anonymous):
After multiplying, I divide 19.3 to both sides?
OpenStudy (joannablackwelder):
Right! :)
OpenStudy (anonymous):
Thank you so much!!
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OpenStudy (wolf1728):
u r welcome
OpenStudy (joannablackwelder):
No worries :)
OpenStudy (joannablackwelder):
And your unit is in cm ^3
OpenStudy (joannablackwelder):
Which comes from the density
OpenStudy (anonymous):
Okay
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