Question

A bathtub is filling with water at a rate of 72 inch3/second. The density of water is 0.58 ounce/inch3. How long will it take for the tub to fill with 11,000 ounces of water? Express your answer to the correct number of significant figures. It will take seconds.

Answer 1

We have been given that

Mass of water = 11,000 ounces

Density of water = 0.58 ounce/inch3

Density = mass / volume or volume = mass / density

Volume of water = 11,000 ounces/ 0.58 ounce/inch3 = 18965.5 inches3

Rate = 72 inch3/second  

This means that in 1 second, 72 inch3 of water is filled.  

So, now we need to figure the time required to fill 18965.5 inches3 of water.  

Therefore,  

18965.5 inches3  x 1/ 72 inch3 = 263.4 sec