Question

The inner length, width and height of a rectangular tank made for drinking water by two families are 3 m, 1.5 m and 1.6 m respectively. shaved

(a) Rs. per 3 square meters on the inner four walls of the tank. What is the total cost of painting at the rate of 100?
do you think Calculate.
b) Both the families pay equal amount for consuming water from the said full tank. At the rate of 50 paise per litre, how much will a family have to pay?

Answer 1

The total cost of painting the inner four walls of the tank would be Rs. 533.33 at a rate of Rs. 100 per 3 square meters. Each family would have to pay Rs. 1,800 if they consume water from the full tank at a rate of 50 paise per liter.

Step-by-step explanation:

To calculate the total cost of painting the inner four walls of the tank, we first need to find the area of the four walls. The area can be calculated by multiplying the height of the tank by the sum of the lengths of the two shorter sides. In this case, the area of the four walls would be (1.6m) * (3m + 1.5m + 3m + 1.5m). This equals 16 square meters.

Next, we can calculate the total cost of painting at a rate of Rs. 100 per 3 square meters. Since 3 square meters is the cost for Rs. 100, we can calculate the cost for 16 square meters by multiplying Rs. 100 by (16/3). This equals Rs. 533.33.

For part (b), if both families pay an equal amount for consuming water from the full tank, we can calculate the total volume of the tank in liters by multiplying the length, width, and height in meters. In this case, the volume would be (3m) * (1.5m) * (1.6m) = 7.2 cubic meters = 7,200 liters. Since both families pay an equal amount, each family would have to pay for half of the total volume, which is 7,200/2 = 3,600 liters. To find the cost, we multiply 3,600 liters by 50 paise per liter, which equals Rs. 1,800.

Answer 2

The total cost of painting the inner four walls of a rectangular water tank is 480 rupees, based on a rate of 100 rupees per 3 square meters. For the water consumption, since the tank holds 7200 liters, and the rate is 50 paise per liter, one family would pay 1800 rupees for a full tank assuming equal sharing.

Step-by-step explanation:

The question asks for two separate calculations related to a rectangular water tank used by two families.

Part A:

The cost of painting the inner four walls of the tank is requested. The surface area to be painted is the sum of the areas of the four walls. Since two opposite walls are identical, we can calculate the area of one pair and then double it.

For the front and back walls (3 m x 1.6 m each), the area is:

• 2 walls x (3 m x 1.6 m) = 9.6 square meters.

For the side walls (1.5 m x 1.6 m each), the area is:

• 2 walls x (1.5 m x 1.6 m) = 4.8 square meters.

Total area to be painted is:

• 9.6 m² + 4.8 m² = 14.4 m².

At a rate of 100 rupees per 3 square meters, the total cost is calculated by:

• Total cost = (14.4 m² / 3 m²) x 100 rupees = 480 rupees.

Part B:

For the water consumption cost, first we must find the volume of the tank to determine how much water it holds and thus how much one family will pay. The volume of the tank is:

• Volume = length x width x height = 3 m x 1.5 m x 1.6 m = 7.2 cubic meters.

Since there are 1000 liters in one cubic meter, the tank holds 7200 liters of water. At a rate of 50 paise per liter, the total cost for the full tank is:

• Total cost = 7200 liters x 0.50 rupees/liter = 3600 rupees.

Since both families pay equally, the amount one family will have to pay is:

• One family's cost = Total cost / 2 = 3600 rupees / 2 = 1800 rupees.