A 12 kg wooden block is floating Density=600 kg/m3 What volume of water is displaced?

1. Oct 9, 2012

kuhatelyn

A 12 kg wooden block is floating in a swimming pool. The density of the wood is
600 kg/m3. How many cubic meters of water does the block displace?
(a) 0.044
(b) 0.066
(c) 0.012
(d) not enough information to answer
(e) none of these

I'm really confused on this concept. I know that the weight displaced is the same weight as the object...But I don't know how to find volume from that.
I also tried using the equation m=pv but I don't know if that will work, or if it does, I don't know if I should plug in the density for the wood, or the density of water.

Please help!!! I've been trying for hours and I can't figure it out :(

2. Oct 9, 2012

HallsofIvy

Staff Emeritus
Re: A 12 kg wooden block is floating Density=600 kg/m3 What volume of water is displa

The block must displace enough water to equal its weight. The density of water (at "normal" temperature and pressure) is 1 g per cm (in fact, that is how "gram" was originally defined). So it should be easy to find the volume of water that has mass 12 kg.

(The volume of the block is, in fact, irrelevant.)

3. Oct 9, 2012

kuhatelyn

Re: A 12 kg wooden block is floating Density=600 kg/m3 What volume of water is displa

I'm still a little confused..
So would I plug it into m=pv?
12=1000 x V