Final answer:
The total cost for painting the rectangular tank's inner four walls is Rs. 480, calculated by finding the total surface area to be painted and applying the rate. Each of the two families will have to pay Rs. 1800 for consuming the entire tank's water, after calculating the tank's volume and the cost of water per liter.
Step-by-step explanation:
The question involves two separate calculations related to a rectangular tank. First, let's find the total cost of painting the inner four walls of the tank, which involves calculating the surface area to be painted and then applying the given rate. The surface area of the rectangular tank's four walls (two with dimensions 3 m x 1.6 m and two with dimensions 1.5 m x 1.6 m) can be calculated like this:
- Surface area of long walls = 2 * (3 m * 1.6 m) = 9.6 sq m
- Surface area of short walls = 2 * (1.5 m * 1.6 m) = 4.8 sq m
- Total surface area to be painted = 9.6 sq m + 4.8 sq m = 14.4 sq m
- Cost for painting per 3 sq m = Rs. 100
- Total cost of painting = (14.4 sq m / 3 sq m) * Rs. 100 = Rs. 480
So, the total cost of painting the inner four walls of the tank is Rs. 480.
Next, we calculate the cost for a family to consume water from the tank. The volume of the tank is calculated as follows:
- Volume of the tank = length * width * height = 3 m * 1.5 m * 1.6 m = 7.2 cubic meters
- Since 1 cubic meter = 1000 liters, the tank holds 7200 liters when full.
- Cost per liter = 50 paise, so the cost for 7200 liters = 7200 * 0.50 = Rs. 3600 for the entire tank.
- Each family's cost = Rs. 3600 / 2 = Rs. 1800
Therefore, each family will have to pay Rs. 1800 to consume the water from the full tank.