Question

The volume of a square room has a door of 2m x 1.5m and two windows, each of 1m x 1.5m is 900m³. If the cost of paving tiles, including wage at Rs. 7.50/m² is Rs. 1687.50, find the cost of coloring 4 walls at Rs. 12.50/m².

a) Rs. 2,500
b) Rs. 1,000
c) Rs. 2,000
d) Rs. 3,000

Answer 1

The cost of coloring the 4 walls in the square room after accounting for doors and windows and excluding the cost of paving is Rs. 2,925, which rounds up to Rs. 3,000 as per the available options (option d).

Step-by-step explanation:

The question asks us to calculate the cost of coloring the 4 walls in a square room. The volume of the room is given as 900 m³, and there is one door (2 m x 1.5 m) and two windows (each 1 m x 1.5 m). Initially, let's find the surface area that needs painting and then use the cost per m² to find the total cost.

First, we need to find the height of the room using the given volume. Since the room is square, let's denote the length of a side as 'x'. Therefore, x² * height = 900 m³. We also know that the area of the floor is x². The question already gives us the cost of paving tiles for the floor, which is Rs. 1687.50 at Rs. 7.50 per m², allowing us to calculate the area of the floor (x²) as 1687.50 / 7.50 = 225 m². Hence, x = √225 = 15 m. This means the height of the room is 900 / 225 = 4 m.

The total area of the 4 walls is 4 * (x * height) = 4 * (15 m * 4 m) = 240 m². However, we must subtract the areas of the door and two windows, which is (2 m * 1.5 m) + 2 * (1 m * 1.5 m) = 6 m². Thus, the paintable surface area is 240 m² - 6 m² = 234 m². Lastly, the cost of coloring all 4 walls at Rs. 12.50/m² is Rs. 12.50 * 234 m² = Rs. 2925.

Since Rs. 2,925 is not an option, we can consider rounding to the nearest option. Therefore, the correct choice, given the options, is Rs. 3,000 (Option d).

Answer 2

The calculation requires the height of the room and the number of walls containing the door and windows to determine the surface area to be painted. However, since these details are not provided in the question, it is not possible to calculate the cost of coloring the 4 walls. The cost of paving the room's floor helps to understand the tiled area but doesn't apply to the walls.

Step-by-step explanation:

To find the cost of coloring the walls, we need to calculate the surface area to be colored and then multiply by the cost per square meter. Since the volume of the room is 900 m³ and a door and two windows are present, the room has a square base. Let the height be 'h', resulting in a room base of √(900/h). We deduce the area of the door (2m x 1.5m) and the two windows (1m x 1.5m each).

Assuming the room is a cube (which is not specified, but inferred from the given volume), the side would be √900 = 30m. The surface area of one wall would therefore be 30m x h, and for four walls, it would be 4 x (30m x h), minus the areas of the door and windows. Once we have the area, we multiply by the cost per square meter to find the total coloring cost.

However, we don't have enough information to calculate 'h' since it's not given in the question. We also do not know how many of the four walls contain the door and windows, which is necessary to subtract from the total square meters to be colored. It seems there is an oversight in the question.

Despite the missing details, we know that the cost for paving is Rs. 1687.50 for 7.50/m², which indicates a tiled area of 1687.50 / 7.50 = 225 m², but this information pertains to the floor and doesn't directly help with the walls.