Question

HELP Which of the following fractions can be used in the conversion of 32 m3 to the unit mm3?

fraction cubed: one mm over ten to the negative third power m
fraction cubed: one m over ten to the negative third power mm
one mm over ten to the negative third power m
ten to the negative third power mm over one m

I'm stuck between A and C

Answer 1

We know that each millimeter contains 10⁻³ meters. Writing this as a ratio:
1 mm : 10⁻³ m

We require a conversion from m³ to mm³, so we must take the cube of the ratio we have made:
1 mm³ = (10⁻³)³ m³

Therefore, the conversion used will be:
(1 mm / 10⁻³ m)³

When we multiply by this conversion, we will get:
32 m³ = 32 x 10⁹ mm³