A room is 10 m long , 6 m broad and 5 m high . It has one door of dimensions 2m by 1.5 m and two windows each of dimensions 1m by 1m. find the cost of whitewashing the walls at ₹20 per m ²
Answers
Answer:
₹3100
Step-by-step explanation:
Area of door = length × breadth
= Area of door = 2×1.5 = 3m²
2) Area of windows = side × side
= Area of windows = 1×1 = 1m²
3) Area of 4 walls = 2h(l+b)
= Area of 4 walls = 2×5(10+6)
= Area of 4 walls = 10×16 = 160m²
Area to be whitewashed = Area of 4 walls - Area of door - (2× Area of one window)
= Area to be whitewashed = 160m² - 3m² - (1×2m²)
= Area to be whitewashed = 157m² - 2m²
= Area to be whitewashed = 155m²
Cost of whitewashing = Area to be whitewashed × Rate of whitewashing
Cost of white washing = 155m² × ₹20/m²
Cost of white washing = ₹3100
Hope this helps...
Given :
A room has 1 door and 2 windows
1) Dimensions of room
- Length = 10m
- Width = 6m
- Height = 5m
2) Dimensions of door = 2m by 1.5m
3) Dimensions of windows = 1m by 1m
4) Rate of whitewashing the wall = ₹20 per m²
To find :
Total cost of white washing the walls of room
Formula used :
- Area of rectangle = length × breadth
- Area of square = side × side
Solution :
First of all we need to find Area to be whitewashed. Which will be equal to area of 4 walls subtracted by area of door and area of windows
1) Area of door = length × breadth
➝ Area of door = 2×1.5 = 3m²
2) Area of windows = side × side
➝ Area of windows = 1×1 = 1m²
3) Area of 4 walls = 2h(l+b)
➝ Area of 4 walls = 2×5(10+6)
➝ Area of 4 walls = 10×16 = 160m²
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Area to be whitewashed = Area of 4 walls - Area of door - (2× Area of one window)
➝ Area to be whitewashed = 160m² - 3m² - (1×2m²)
➝ Area to be whitewashed = 157m² - 2m²
➝ Area to be whitewashed = 155m²
_______________________________________________
Cost of whitewashing = Area to be whitewashed × Rate of whitewashing
➝ Cost of white washing = 155m² × ₹20/m²
➝ Cost of white washing = ₹3100
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