I am a mom with limited math and science knowledge. my son is stumped and so am I. The question is "what is the mass of water that covers 12cm3 (that's 3rd power). I haven't a clue of the formula and neither does my son.
It has a mass of 12 grams. I can elaborate if necessary.
Thank you. Please elaborate.
Is your son studying density?
mass = volume x density.
The 12 cm^3 stands for 12 cubic centimeters (a volume), usually written either as 12 cm3 or as 12 cc or 12 c.c. (but the periods USUALLY are not written). Water has a density of approximately 1.0 gram/cc at temperatures around room T (it can be looked up in tables to 6 places but I assume this is pretty basic stuff so 1.0 is ok instead of writing 0.99997 g/cc). So we substitute 12 cc for the volume and 1.0 g/cc for the volume like this.
mass = volume x density.
mass = 12 cc x 1.0 g/cc = 12 g.
Note that 12 x 1 = 12 and the units are
cc x (g/cc) so the cc unit cancels to leave the mass unit of grams.
I hope this helps but feel free to follow up. By the way, to make things a little more comfortable for people who don't usually think in terms of the metric system, one U. S. teaspoon is almost 5 cc and a U. S. 5-cent piece weighs about 5 grams.
thank you so much. I hate not having the answers but I didn't have much math and no science since 7th grade myself and kids today are learning more than I ever did.
I can sympathize. Many of the questions on this board from high school students covers material in chemistry that I didn't have until I was studying for my Ph. D. And I get questions that stump me, too.
I'd be happy to help you and your son with this question! To find the mass of water that covers a specific volume, we need to use the formula for density.
Density is a measure of how much mass is contained in a given volume. For water, the density is approximately 1 gram per cubic centimeter (g/cm³). This means that 1 cubic centimeter of water has a mass of 1 gram.
To find the mass of water that covers 12 cm³, we can use the formula: mass = density × volume.
In this case, the volume is given as 12 cm³. Since density is 1 g/cm³ for water, we can substitute these values into the formula:
mass = 1 g/cm³ × 12 cm³
When we multiply 1 g/cm³ by 12 cm³, the cm³ units cancel out, leaving us with the mass in grams:
mass = 1 g/cm³ × 12 cm³ = 12 grams.
So, the mass of water that covers 12 cm³ is 12 grams.