An open concrete tank is internally 1m wide, 2m long and 1.5m deep, the concrete being 10cm thick. Calculate the capacity of the tank in liters and the volume of concrete used in m
To calculate the capacity of the tank in liters, we need to multiply the width, length, and depth of the interior of the tank:
Capacity = 1m x 2m x 1.5m = 3 cubic meters
We need to convert cubic meters to liters, which we can do by multiplying by 1000:
Capacity = 3 cubic meters x 1000 = 3000 liters
To calculate the volume of the concrete used in meters, we need to subtract the interior volume of the tank from the exterior volume of the tank. The exterior dimensions of the tank will be the interior dimensions plus twice the thickness of the concrete walls:
Exterior width = 1m + 0.2m + 0.2m = 1.4m
Exterior length = 2m + 0.2m + 0.2m = 2.4m
Exterior depth = 1.5m + 0.2m + 0.2m = 1.9m
Now we can calculate the exterior volume of the tank:
Exterior volume = 1.4m x 2.4m x 1.9m = 8.064 cubic meters
To calculate the volume of the concrete used, we simply subtract the interior volume from the exterior volume:
Concrete volume = 8.064 cubic meters - 3 cubic meters = 5.064 cubic meters
Therefore, the capacity of the tank is 3000 liters and the volume of concrete used is 5.064 cubic meters.
To calculate the capacity of the tank in liters, we need to calculate the volume of the tank and then convert it to liters.
Step 1: Calculate the volume of the tank.
The tank can be considered as a rectangular prism. The formula to calculate the volume of a rectangular prism is length × width × height.
Volume of the tank = 2m × 1m × 1.5m
Volume of the tank = 3 cubic meters
Step 2: Convert the volume to liters.
1 cubic meter is equal to 1000 liters.
Capacity of the tank = 3 cubic meters × 1000 liters/cubic meter
Capacity of the tank = 3000 liters
Therefore, the capacity of the tank is 3000 liters.
To calculate the volume of concrete used, we need to subtract the volume of the tank from the volume of the tank including the concrete.
Step 1: Calculate the volume of the tank including the concrete.
Since the concrete is 10cm thick, which is 0.1m, we need to add it to the dimensions of the tank.
Length including concrete = 2m + 2 × 0.1m = 2.2m
Width including concrete = 1m + 2 × 0.1m = 1.2m
Height including concrete = 1.5m + 0.1m = 1.6m
Volume of the tank including concrete = 2.2m × 1.2m × 1.6m
Volume of the tank including concrete = 3.168 cubic meters
Step 2: Calculate the volume of concrete used.
Volume of concrete used = Volume of the tank including concrete - Volume of the tank
Volume of concrete used = 3.168 cubic meters - 3 cubic meters
Volume of concrete used = 0.168 cubic meters
Therefore, the volume of concrete used is 0.168 cubic meters.