If the density of a substance is 7.87 g/cubic cm, convert this density to g/cubic inches.
7.87g/cm^3 * (2.54cm/in)^3
So it would be:
7.87cm^3 * 16.387064 cm^3/1in^3?
Wouldn't it be the other way around with 1in^3/16.387064cm^3?
The unwanted units must divide out. One wants g/in^3 in the answer.
IF you had done this,
7.87g/cm^3 * 1in^3/16.4cm^3m the final units would be
xxxx g*in^3/cm^6
How does the cm^3 cancel out I'm multiplying 7.87g/cm^3 by 16.4cm^3?
I hope this turns out ok. If it doesn't make sense, ignore it.
g            cm^3
---- x -------- = g/in^3
cm^3      in^3
looks ok.
To convert the density from grams per cubic centimeter (g/cm³) to grams per cubic inch (g/in³), we need to keep track of the conversion between centimeters and inches.
1 inch = 2.54 centimeters
To convert volume from cubic centimeters to cubic inches, we need to consider that:
1 inch³ = (2.54 cm)³
Now, let's proceed with the conversion:
1. Start with the given density of 7.87 g/cm³.
2. To change the density from g/cm³ to g/in³, we need to convert both the numerator and denominator to the same units.
3. First, convert the density from g/cm³ to g/in³.
- Multiply the density by the conversion factor: (1 inch/2.54 cm)³
- This is because we want to cancel out the centimeters and convert them to inches.
4. Calculate the conversion:
- (7.87 g/cm³) x (1 inch/2.54 cm)³ = 7.87/ (2.54³) g/in³
- Simplifying further:
- 7.87 / (2.54 x 2.54 x 2.54) g/in³
- 7.87 / 16.387064 g/in³
5. The final answer is approximately 0.480752 g/in³ (rounded to six decimal places).
Therefore, the density of the substance is approximately 0.480752 g/in³.