rectangular water tank whose base is 1.5 m by 0.5 m is to be filled with water 50 litre containers. How many such containers will be required to fill the tank to a height of 1 meter?
Volume of water in the tank
= height * base * length
= 1 * 1.5 * 0.5
= 0.75 m^3
1 m^3 = 1000 l
=> 0.75m^3 = 750 l
If 750 liters need to be filled, how many 50 liter containers are required?
To find out how many 50-liter containers are needed to fill the tank to a height of 1 meter, we need to calculate the volume of the tank first.
The volume of a rectangular tank can be calculated by multiplying the length, width, and height.
Given:
Length of the tank = 1.5 m
Width of the tank = 0.5 m
Height of the tank = 1 m
Volume of the tank = Length × Width × Height
= 1.5 m × 0.5 m × 1 m
= 0.75 cubic meters
Since the given volume of the containers is in liters, we need to convert the volume of the tank to liters.
1 cubic meter = 1000 liters
Volume of the tank in liters = 0.75 cubic meters × 1000 liters/cubic meter
= 750 liters
Now we need to find out how many 50-liter containers are required to fill the tank.
Number of containers = Volume of the tank / Volume of each container
= 750 liters / 50 liters
= 15
Therefore, 15 such 50-liter containers will be required to fill the tank to a height of 1 meter.
To find the number of containers required to fill the tank, we need to calculate the volume of the tank and then divide it by the volume of each container.
The volume of a rectangular tank can be calculated by multiplying its base area by its height.
Given:
Base length = 1.5 m
Base width = 0.5 m
Height = 1 m
First, let's calculate the volume of the tank:
Tank volume = Base area x Height
The base area can be calculated by multiplying the length and width:
Base area = 1.5 m x 0.5 m
Now, let's find the tank volume:
Tank volume = 1.5 m x 0.5 m x 1 m
Next, we need to convert the volume into liters, as the container volume is given in liters. Since 1 cubic meter is equal to 1000 liters, we can convert the result to liters:
Tank volume = (1.5 m x 0.5 m x 1 m) x 1000 liters
Now, we can calculate how many 50-liter containers are required to fill the tank:
Number of containers = Tank volume / Container volume
Container volume = 50 liters
Number of containers = (1.5 m x 0.5 m x 1 m x 1000 liters) / 50 liters
Calculating this equation, we can find the number of containers required to fill the tank.