Water drips from a faucet into a flask at the rate of two drops every 2 seconds. A cubic centimeter (cm3) contains 20 drops. What volume of water, in cubic decimeters (dm3), will be collected in 3 hours?
3600 seconds in one hour
10800 seconds in three hours therefore there are 10800 drops in three hours
10800/20 drops =540 cm3
There are .001 dm3 in a cm3
540 cm3 x .001 = .54 dm3
0.54 dm3 is correct.
Yes, 0.54 dm³ is the correct volume of water collected in 3 hours.
That's correct! The volume of water collected in 3 hours is 0.54 cubic decimeters (dm3).
To get the answer, we need to calculate the total number of drops in 3 hours. We know that the rate is 2 drops every 2 seconds, so we can calculate the number of drops in 3 hours by multiplying the number of seconds in 3 hours by the rate.
There are 3600 seconds in one hour, so in three hours, there are 3600 * 3 = 10800 seconds.
Next, we know that a cubic centimeter (cm3) contains 20 drops. So, to get the volume of water collected in drops, we divide the total number of drops by 20: 10800 / 20 = 540 cm3.
To convert cm3 to dm3, we need to know that there are 0.001 dm3 in a cm3. So, to convert cm3 to dm3, we multiply the volume in cm3 by 0.001: 540 cm3 * 0.001 = 0.54 dm3.
Therefore, the volume of water collected in the flask in 3 hours is 0.54 dm3.