A concrete tank is having external measurement of 3m by 2m by 1m.if the concrete is 0.25m thick. Find the

a. Capacity of the tank
b. Volume of the concrete used in making the tank if air closed.

so the inside measurements are:

2.5 by 1.5 by .5 m

continue

To find the capacity of the tank, we need to calculate the volume of the empty space inside the tank. The external measurements of the tank are given as 3m by 2m by 1m, with a concrete thickness of 0.25m.

a. Capacity of the tank:
To find the capacity of the tank, we need to subtract the volume occupied by the concrete from the total volume of the tank.

The external dimensions of the tank represent the dimensions of the outer surface of the tank, which includes the thickness of the concrete on all sides. Therefore, we need to subtract twice the concrete thickness from each dimension to find the internal dimensions.

Internal dimensions:
Length = 3m - 2 * 0.25m = 2.5m
Width = 2m - 2 * 0.25m = 1.5m
Height = 1m - 2 * 0.25m = 0.5m

Now, we can calculate the capacity of the tank by calculating the volume using the internal dimensions:

Capacity = Length * Width * Height
Capacity = 2.5m * 1.5m * 0.5m
Capacity = 1.875 cubic meters

Therefore, the capacity of the tank is 1.875 cubic meters.

b. Volume of concrete used in making the tank (assuming air is closed inside):
To find the volume of the concrete used, we need to calculate the difference between the total volume of the tank and the volume of the empty space inside.

The total volume of the tank is given by the external dimensions:

Total volume = Length * Width * Height
Total volume = 3m * 2m * 1m
Total volume = 6 cubic meters

Now, we can calculate the volume of the empty space inside the tank using the internal dimensions:

Empty space volume = Length * Width * Height
Empty space volume = 2.5m * 1.5m * 0.5m
Empty space volume = 1.875 cubic meters

Finally, we can calculate the volume of the concrete used by subtracting the empty space volume from the total volume:

Volume of concrete = Total volume - Empty space volume
Volume of concrete = 6 cubic meters - 1.875 cubic meters
Volume of concrete = 4.125 cubic meters

Therefore, the volume of concrete used in making the tank, assuming the air is closed inside, is 4.125 cubic meters.