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Topic: Please help calculating the density  (Read 1389 times)

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Offline CuteTruck

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Please help calculating the density
« on: September 04, 2019, 06:56:58 PM »
For the love of God, I suck at conversions. In general, math is by far my weakest link. I've been trying to figure out the answer to this question for 30mins "Calculate the density in grams per cubic centimeter of a 0.992-kg board that is 0.107 m long, 2.05 cm thick, and 7.73 cm wide." I ended up with .00585 m^3, which is obviously wrong. I first found the volume which I thought was 169.55755 Grams, and the mass which I got 992 grams. Idk what I'm doing, I'm afraid I'm going to fail college Chem...
« Last Edit: September 04, 2019, 09:27:39 PM by CuteTruck »

Offline hypervalent_iodine

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Re: Please help calculating the density
« Reply #1 on: September 04, 2019, 09:24:51 PM »
For the love of God, I suck at conversions. In general, math is by far my weakest link. I've been trying to figure out the answer to this question for 30mins "Calculate the density in grams per cubic centimeter of a 0.992-kg board that is 0.107 m long, 2.05 cm thick, and 7.73 cm wide." I ended up with .00585 m^3, which is obviously wrong. I first found the volume which I thought was 169.55755 Grams, and the mass which I got 992 grams. Idk what I'm doing, I'm afraid I'm going to fail college Chem...

Why is your calculated volume in grams and your answer given in m3? Volume in this case is cm3, and density is in units of mass / volume (g / cm3 in this case).

Could you also detail the calculation you used to get to the final answer? I believe you are out by a factor of 1000, so I'm thinking there is just something wonky in the way you've done the math or put it into your calculator.

Offline Vidya

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Re: Please help calculating the density
« Reply #2 on: September 05, 2019, 02:14:02 AM »
Quote
0.107 m long, 2.05 cm thick, and 7.73 cm wide.

 do you know the formula of volume
Volume = Length*Width*Thickness(height)

Three dimensions given by you is in meter so the final unit of the volume will be M3
In 1 meter =100 cm

1 m3 = (100)3cm3

Multiply me3by (100)3
Do you know the formula of density
Density = mass / volume
Mass is given to you in kg
Now you know that 1 kg is 1000 grams
Plugin this values in your density formula
Calculate and answer of Density is in g/cm3


Offline hypervalent_iodine

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Re: Please help calculating the density
« Reply #3 on: September 05, 2019, 07:44:03 AM »
Quote
0.107 m long, 2.05 cm thick, and 7.73 cm wide.

 do you know the formula of volume
Volume = Length*Width*Thickness(height)

Three dimensions given by you is in meter so the final unit of the volume will be M3
In 1 meter =100 cm

1 m3 = (100)3cm3

Multiply me3by (100)3
Do you know the formula of density
Density = mass / volume
Mass is given to you in kg
Now you know that 1 kg is 1000 grams
Plugin this values in your density formula
Calculate and answer of Density is in g/cm3

Only one of the dimensions is in m3, and the OP has apparently converted it to cm and given the correct volume (169.5575 cm3) even if the units they wrote down next to the number are wrong (a weird typo I assume).

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