anonymous
  • anonymous
HELP ASAP !!!!! To determine whether an element is actually gold, scientists will often determine the density of the element and compare it to the known density of gold (19.3 grams/cubic centimeter, or 19.3 g/cc). Samples less dense might be mixtures of many elements (not pure gold). A sample is found to have a mass of 500 g. The sample is a perfect 2 cm cube. Is this sample gold?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DebbieG
  • DebbieG
How many cubic centimeters of volume are in a 2cm cube?
DebbieG
  • DebbieG
|dw:1378918093862:dw|
anonymous
  • anonymous
6?

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DebbieG
  • DebbieG
Hmmmm... do you know the formula for volume of a cube?
anonymous
  • anonymous
no i don't.
DebbieG
  • DebbieG
In general, volume of a rectangular solid is v=l*w*h In a cube, it is simply that l=w=h, so you get \(\large v=s^3\) where s is a side length (remember, the sides are all the same length).
DebbieG
  • DebbieG
So here, you have s=2. So what is volume?
anonymous
  • anonymous
6?
DebbieG
  • DebbieG
What is s?
anonymous
  • anonymous
speed...
DebbieG
  • DebbieG
The formula is \(\large v=s^3\) or, if you prefer, you can just use \(\large v=s\cdot s \cdot s\)
DebbieG
  • DebbieG
Noooo, I told you above... s is a side length of the cube.
DebbieG
  • DebbieG
I'll repeat: In general, volume of a rectangular solid is v=l*w*h In a cube, it is simply that l=w=h, so you get \(\large v=s^3\) where s is a side length (remember, the sides are all the same length). so HERE, what is s=?
anonymous
  • anonymous
side length
DebbieG
  • DebbieG
Yes, that's what s is representing... I'm asking you, what is s=? What NUMBER is s=___???
anonymous
  • anonymous
2
DebbieG
  • DebbieG
Right. Now you need volume, and you know that \(\large v=s^3\) So \(\large v=2^3\) So what is the volume of the cube?
anonymous
  • anonymous
8?
DebbieG
  • DebbieG
Once you have volume (which will be in cubic centimeters) you are looking for g/cc, and you were already told grams in the problem. So you just need to divide: \[\Large \dfrac{ 500~grams }{ volume~cc }=g/cc\]
DebbieG
  • DebbieG
Right, v=8. Now just take the 500 grams, divide by the 8 cc, and you'll get the g/cc.

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