A room is 8m long, 6m broad and 5.5m height . It has one of the Dimension 2.5m by 2m and 2 Windows each of dimensions 1.5 by 1 m.[[1]] the cost of whitewashing the walls at Rs.3.20 per square meter.

Question

A room is 8m long, 6m broad and 5.5m height . It has one of the Dimension 2.5m by 2m and 2 Windows each of dimensions 1.5 by 1 m.[[1]]  the cost of whitewashing the walls at Rs.3.20 per square meter.

Infinity Learn · Accepted Answer

Concept- . The cost of white washing the walls at Rs.3.20per sq.m. is

Rs . 819.2

. The answer to this question includes the room's length, width, and height as well as its dimensions and those of its windows. We need to calculate the cost of painting the room white. The price per square meter for whitewashing the wall is Rs.

3.20

To determine the overall cost of whitewashing a room, we must first determine its surface area and multiply that figure by the cost per square foot.
Here, the measurements of the room are 8 meters long, 6 meters wide, and

5.5 meters

high. One door is

2.5 meters by 2 meters,

and two windows are

1.5

meters by 1 meters.
We must determine how much the whitewashing will cost.
Thus, the room's lateral surface area is first.
We are aware that the cuboid's lateral surface area is equal to

2 h (l + b) .

Using the formula

= 2 h (l + b) = 2 \times 5.5 (8 + 6) = 154 m^{2},

Once more, we must identify the door area.
Door area = l b
Where

l = 2 m and b = 2.5 m, or 2 \times 2.5, equals 5 m^{2}

l = 1.5 m and b = 1 m = 2 \times 1.5 \times 1 = 3 m^{2}

Area of walls - Area of door and two windows equals the area that needs to be whitewashed.
Wall surface area to be whitewashed:

264 - 5 - 3 = 256 m^{2} .

Now that we know how much it will cost to whitewash the walls, we can calculate the price: cost of whitewashing

= 256 x 3.20, or Rs . 819.2 .

Hence, the correct answer is

Rs . 819.2

A room is 8m long, 6m broad and 5.5m height . It has one of the Dimension 2.5m by 2m and 2 Windows each of dimensions 1.5 by 1 m.[[1]] the cost of whitewashing the walls at Rs.3.20 per square meter.

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