Question

A room is 10 m long, 6 m wide and 4.2 m high. It has one door of size 2.5 m × 1.5 m

and one window of dimensions 1.5 mx 1 m. Find the cost of whitewashing the walls at
2.50 per sq.m.

Answer 1

$632.50

Explanation:

To find the cost of whitewashing the walls, we first need to calculate the total surface area of the walls in the room and then multiply it by the cost per square meter.

The room has six walls: four walls that are 10 m x 4.2 m (two of them), one wall that is 6 m x 4.2 m, and one wall that is 6 m x 10 m. We exclude the door and window from these calculations.

Let's calculate the area of each wall:

Wall 1 and Wall 2 (10 m x 4.2 m each): 2 * (10 m * 4.2 m) = 84 sq.m (for both walls)

Wall 3 (6 m x 4.2 m): 6 m * 4.2 m = 25.2 sq.m

Wall 4 (6 m x 10 m): 6 m * 10 m = 60 sq.m

Now, we add up these areas to find the total surface area of the walls:

Total Wall Area = 84 sq.m + 84 sq.m + 25.2 sq.m + 60 sq.m = 253.2 sq.m

Now, we can calculate the cost of whitewashing at a rate of $2.50 per square meter:

Cost = Total Wall Area * Cost per sq.m

Cost = 253.2 sq.m * $2.50/sq.m

Cost = $632.50