# Unit conversions

## Homework Statement

A block of wood measuring 5 cm x 3 cm x 10 cm has a mass of 90 grams. What is the density of the wood in kg/m^3?

D=m/V

## The Attempt at a Solution

I know this seems trivial but I need to get the math down to a T. I know that it s 06.g/cm^3 but how is this converted to kg/m^3? For example, we know that 1 m^3 = 10^6 cm^3. My calculation are as follows:

(0.6 g/cm^3)(1 kg/1000g)(100000 cm^3/1 m^3). I keep getting 60 kg/m^3 but the correct answer is 6.0 x 10^2 kg/m^3. Seriously, what am I continually doing wrong? Thanks for the help!

SammyS
Staff Emeritus
Homework Helper
Gold Member

## Homework Statement

A block of wood measuring 5 cm x 3 cm x 10 cm has a mass of 90 grams. What is the density of the wood in kg/m^3?

D=m/V

## The Attempt at a Solution

I know this seems trivial but I need to get the math down to a T. I know that it s 06.g/cm^3 but how is this converted to kg/m^3? For example, we know that 1 m^3 = 10^6 cm^3. My calculation are as follows:

(0.6 g/cm^3)(1 kg/1000g)(100000 cm^3/1 m^3). I keep getting 60 kg/m^3 but the correct answer is 6.0 x 10^2 kg/m^3. Seriously, what am I continually doing wrong? Thanks for the help!
count the zeros in 100000 cm3/1 m3 . It's wrong.

I am getting conflicting information from my book and from online sources! My book states that 10^6 cm^3 = 1 m^3. ??

fresh_42
Mentor
I am getting conflicting information from my book and from online sources! My book states that 10^6 cm^3 = 1 m^3. ??
Which are how many zeros?

• SammyS
Wow. Can't believe I missed that! Thanks for catching my careless error!!

berkeman
Mentor
Don't bother memorizing that conversion. Just write it like this: 1 = (100cm/m)^3

• CWatters