# Thread: converting units of measurement

1. ## converting units of measurement

an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?

Do I ever use the density formula in this?

2. No. Since Water has a density of 1.0g/mL, you do not need to use the density formula. You CAN use it, but it would be pointless.

Eg.
Density * Volume = mass
$1.0g/mL * mL = g$

Since density = 1, then Volume = mass

3. Originally Posted by larryboi7
an olympic size pool is 50.0m long 25.0 m wide. a) how many gallons of water(d = 1.0g/mL) are needed to fill the pool to an average depth of 4.8ft? b) what is the mass (in kg) of water in the pool?

Do I ever use the density formula in this?
But of course you must use the units!

From the definition of density:

$density = \dfrac{mass}{volume}$

you'll get the mass by

$mass = density \cdot volume$

Since 4.8' = 1.46304 m you'll get the volume of the pool as:

$V = 50\ m \cdot 25\ m \cdot 1.46304\ m = 1,828.8\ m^3 = 1.8288\cdot 10^9\ ml$

Then the mass is

$m = 1\ \frac g{ml} \cdot 1.8288\cdot 10^9\ ml = 1.8288\cdot 10^9\ g = 1.8288\cdot 10^6\ kg$

,

,

,

### an olympic size pool is 50m long and 25m wide. Howany Galloons of water (density=1.00 g/mL ) are needed to fill in 4.8 ft depth

Click on a term to search for related topics.