a) To find the capacity of the tank in litres, we need to use the formula:
Volume = Length x Width x Depth
Before we use this formula, we need to convert the dimensions to metres. So, the dimensions of the tank in metres are:
Width = 1m = 0.1m
Length = 2m = 0.2m
Depth = 1.5m = 0.15m
Now we can use the formula:
Volume = 0.2m x 0.1m x 0.15m
Volume = 0.003m^3
To convert this volume to litres, we multiply by 1000:
Volume in litres = 0.003m^3 x 1000
Volume in litres = 3 litres
Therefore, the capacity of the tank is 3 litres.
b) To find the volume of concrete in m3, we need to subtract the volume of the empty space inside the tank from the volume of the tank itself. The volume of the empty space is:
Volume of empty space = (Length - 2 x Thickness) x (Width - 2 x Thickness) x Depth
Volume of empty space = (2m - 2 x 0.1m) x (1m - 2 x 0.1m) x 1.5m
Volume of empty space = 1.8m x 0.8m x 1.5m
Volume of empty space = 1.44m^3
The volume of the tank itself is:
Volume of tank = Length x Width x Depth
Volume of tank = 2m x 1m x 1.5m
Volume of tank = 3m^3
Therefore, the volume of concrete in the tank is:
Volume of concrete = Volume of tank - Volume of empty space
Volume of concrete = 3m^3 - 1.44m^3
Volume of concrete = 1.56m^3
Therefore, the volume of concrete in the tank is 1.56m^3.
An open concrete tank is internally 1m wide,2m long and 1.5m deep the concrete being 10cm thick.calculate:
a) the capacity of the tank in litres
b) the volume of concrete in m3
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