Question

Simple conversions.

Answer 1

Convert 23.1m^3 to liters.
Note that 1 mL = 1cm^3.

Answer 2

I know you need to first convert to cm^3?

Answer 3

use units conversion fractions (dynamic analysis)

\[23.1 m^3 \times \frac{ (100 cm)^3 }{ 1 m^3} \times \frac{ 1mL }{ 1 cm^3 } \times \frac{ 1L }{ 1000 mL } = \]

multiply through and notice that all units cancel out except L at the end

Answer 4

since the numerator equals the denominator. you are basically multiplying by one every time but changing units

Answer 5

Thanks. After multiplying through, I got 2.31. Its that right?

Answer 6

it is 23100. notice that the cube is outside of the bracket in (100cm)^3

1 m = 100 cm
but 1 m^3 = 1,000,000 cm^3

Answer 7

So any time it is cubed I have to include those 0's.

Answer 8

@Euler271 . thanks for taking all that time. Can you guide me step by step, I am still confused.