A room is 15m long, 12m wide and 5m high. It has three doors, each measuring 2m by 1.5m and four windows, each measuring 2.2 by 1.8 m. Find the cost of painting its four walls and ceiling at the rate of ₹ 5.30 per sq m.
Answers
The cost of painting it's four walls and ceiling at Rs. 5.30 per sq m is Rs. 2253.34.
Step-by-step explanation:
Step 1:
The length of the room, l = 15 m
The breadth of the room, b = 12 m
The height of the room, h = 5 m
∴ Area of the ceiling of the room = l * b = 15 * 12 = 180 m² ….. (i)
And,
∴ Area of the 4 walls of the room including the doors and windows = 2h[l+b] = 2 * 5 * [15+12] = 270 m² …… (ii)
Step 2:
It is given that,
Dimensions of three doors = 2 m x 1.5 m each
So, Area of 3 doors = 3 * [l*b] = 3 * 2 * 1.5 = 9 m² ….. (iii)
And,
Dimensions of 4 windows = 2.2 m x 1.8 m each
So, Area of 4 windows = 4 * [l*b] = 4 * 2.2 * 1.8 = 15.84 m² ….. (iv)
Step 3:
From (i), (ii), (iii) & (iv), we get
Area of 4 walls and ceiling of the room excluding the doors and windows is,
= [Area of the walls of the room including the doors and windows] + [Area of the ceiling of the room]– [Area of 3 doors] – [Area of 4 windows]
= 270 + 180 – 9 – 15.84
= 425.16 m²
The cost of painting the four walls and ceiling of the room is given as = Rs 5.30 per m²
Thus,
The cost of painting the four walls and ceiling of the room (excluding the doors and windows) is,
= 425.16 m² * Rs. 5.30
= Rs. 2253.34
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hope it helps