Question

What is the mass in pounds of the water?Express your answer in pounds to two significant figures.

Answer 1

Step 1 - Converting the volume to m3

Let's first convert the volume in yd3 to m3. By doing this, we can then use the density of water to obtain the mass in Kg and convert it to pounds.

The relation between yd3 and m3 is that 1 yd3 corresponds to 0.764 m3. Therefore, the volume in m3 of the swimming pool will be:

`V=170*0.764=129.8m^3`

Step 2 - Finding the mass of water contained in this volume

The density of water is 1000 kg/m3. Since the volume of the swimming pool is 129.8 m3, the mass of water will be:

`m=1000*129.8=129800\text{ Kg}`

Step 3 - Converting Kg to pounds

1 Kg corresponds to 2.2 pounds. Therefore:

`m(\text{pounds)}=129800*2.2=285560\text{ lb}`

The mass of water contained in a swimming pool is thus 285560 lb.