A bucket holds 6 litres of water. A paddling pool is in the shape of a cuboid with dimensions 700mm x 1800mm x 3000mm. How many buckets of water would be required to fill the pool to the brim?
If the pool has a leak and loses water at the rate of 20ml per second, how long would it take for the pool to empty completely?
3780 l and time is 5.25 hrs
To find out how many buckets of water would be required to fill the pool to the brim, we need to calculate the volume of the pool first.
The volume of a cuboid can be found by multiplying its three dimensions together.
Given dimensions of the pool:
Length = 700mm
Width = 1800mm
Height = 3000mm
To convert the dimensions from millimeters (mm) to liters (L), we need to divide each dimension by 1000.
Therefore, the converted dimensions would be:
Length = 0.7m
Width = 1.8m
Height = 3m
Now, we can calculate the volume of the pool by multiplying the three dimensions together:
Volume = Length x Width x Height
Volume = 0.7m x 1.8m x 3m
Therefore, the volume of the pool is 3.78 cubic meters (m³).
Now, we can calculate the number of buckets required to fill the pool. Given that one bucket holds 6 liters of water, we need to convert the volume of the pool from cubic meters (m³) to liters (L).
1 cubic meter (m³) = 1000 liters (L)
Volume of the pool in liters = Volume of the pool in cubic meters x 1000
Volume of the pool in liters = 3.78m³ x 1000 = 3780 liters (L)
Now, to find the number of buckets required, divide the volume of the pool in liters by the volume of one bucket:
Number of buckets required = Volume of the pool in liters / Volume of one bucket
Number of buckets required = 3780 L / 6 L
Therefore, it would require 630 buckets of water to fill the pool to the brim.
Now, let's calculate how long it would take for the pool to empty completely if it loses water at a rate of 20ml per second.
Given:
Leak rate = 20ml per second
To find the time it takes for the pool to empty completely, we need to divide the volume of the pool by the leak rate.
Volume of the pool in milliliters = Volume of the pool in liters x 1000
Volume of the pool in milliliters = 3780 L x 1000 = 3,780,000 ml
Time taken to empty the pool = Volume of the pool in milliliters / Leak rate
Time taken to empty the pool = 3,780,000 ml / 20ml per second
Therefore, it would take 189,000 seconds for the pool to empty completely or approximately 52.5 hours.