## anonymous 5 years ago Why is 1 m^3 = 1 000 000 ml?

1. anonymous

would it help if i gave you the conversion factor 1cm^3=1 ml

2. anonymous

3. anonymous

like how did 1.0 m^3 get to 1 000 000 ml..o.o

4. anonymous

$1 M^3(\frac{100 CM^3}{1 M^3})(\frac{1 ML}{1 CM^3})=1,000,000 ML$ Remember you have to multiply 100 x 100 x 100 which equals 1 million

5. anonymous

so when I cancel m3, and cm 3... 1 x 100 x 1 = 1 000 000 mL? o.O

6. anonymous

when you have something raised to a power in a factor lable thing you have to repeat that step as many times as the power says. in this case you do it 3 times. So for the first part you get 1,000,000 Cm^3 then cancel out the Cm^3 and leave you with 1,000,000 ML

7. anonymous

ohhh.. but isn't that cubic cm?

8. anonymous

Yes but the cubic cm cancels out because you have one on the top of the fraction and one on the bottom of the fraction. And cubic meters cancel out because you have one on top and one on bottom and this only leaves you with ML

9. anonymous

ohh.. i see, it's just 'cause I saw like a similar question where the askeer asked: "Why 1 m^3 = 1000 L" and a person answered with: 1 m^3 * (100 cm / 1 m)^3 * (1 mL / 1 cm^3) * (1 L / 1000 mL) = 100^3 / 1000 = (10^2)^3 / 10^3 = 10^6 / 10^3 = 1000 L

10. anonymous

You got it

11. anonymous

ahh, i still don't get it D: