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 litres and the volume of concrete used in metre cube

1 answer

The internal dimensions of the tank are:

Length L = 2m
Width W = 1m
Depth D = 1.5m

The thickness of the concrete is 10cm = 0.1m

To calculate the capacity of the tank in litres, we need to calculate the volume of the tank. The formula for the volume of a rectangular tank is:

Volume = Length × Width × Depth

Therefore, the volume of the tank is:

Volume = 2m × 1m × 1.5m
Volume = 3m³

To calculate the capacity of the tank in litres, we need to convert the volume from cubic metres to litres. There are 1,000 litres in a cubic metre, so:

Capacity = Volume × 1,000
Capacity = 3m³ × 1,000
Capacity = 3,000 litres

To calculate the volume of concrete used in the tank, we need to subtract the volume of the tank from the volume of the tank with the concrete walls. The dimensions of the tank with the concrete walls are:

Length L = 2.2m (2m + 2 × 0.1m)
Width W = 1.2m (1m + 2 × 0.1m)
Depth D = 1.6m (1.5m + 2 × 0.1m)

The volume of the tank with the concrete walls is:

Volume = Length × Width × Depth
Volume = 2.2m × 1.2m × 1.6m
Volume = 4.224m³

The volume of the tank is:

Volume = Length × Width × Depth
Volume = 2m × 1m × 1.5m
Volume = 3m³

Therefore, the volume of concrete used in the tank is:

Volume of concrete = Volume of tank with walls - Volume of tank
Volume of concrete = 4.224m³ - 3m³
Volume of concrete = 1.224m³

Therefore, the capacity of the tank is 3,000 litres and the volume of concrete used in the tank is 1.224m³.