A rectangular water tank measures 2.4m long,2m wide and1.5m high.the tank contained some water up yo a height of 0.45m. calculate amount of water in litres needed to fill the tank
Maths question
remaining height to fill is 1.5 - 0.45 = 1.05 m
so the volume is
2.4 * 2.0 * 1.05 m^3 * 1000L/m^3 = ___ L
Yes
To calculate the amount of water needed to fill the tank, we need to find the volume of the tank and then subtract the volume of the water already in it.
The volume of a rectangular tank can be found by multiplying its length, width, and height. In this case, the length is 2.4m, the width is 2m, and the height is 1.5m.
Volume of tank = Length x Width x Height
= 2.4m x 2m x 1.5m
= 7.2m³
Now, let's calculate the volume of the water already in the tank. The given height is 0.45m, and we need to find the volume.
Volume of water = Length x Width x Height
= 2.4m x 2m x 0.45m
= 2.16m³
To find the volume of water needed to fill the tank, we subtract the volume of water already present from the volume of the tank.
Volume of water needed = Volume of tank - Volume of water
= 7.2m³ - 2.16m³
= 5.04m³
Finally, to convert the volume from cubic meters to liters, we multiply by 1000 since 1 cubic meter is equal to 1000 liters.
Volume of water needed in liters = Volume of water needed x 1000
= 5.04m³ x 1000
= 5040 liters
Therefore, 5040 liters of water are needed to fill the tank.