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Question

The length, breadth and height of a room are 6m, 4.5m and 3m respectively, find the cost of white washing the walls of the room and the ceiling at the rate of Rs.8 per m2

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Solution

Area to be whitewashed = area of four walls + area of ceiling
Formulas to be noted :
Area of four walls =2 ( length + breadth ) × height
Area of ceiling = area of rectangle = length × breadth
In the question, length of the room =6m
breadth of the room =4.5m
height of the room =3m
On the basis of formulas given above :
Area of four walls =2(6m+4.5m)x3m
Area of four walls =2(10.5m)x3m
Area of four walls =21mx3m
Area of four walls =63m2
Area of ceiling =6m×4.5m
Area of ceiling =27m2
Therefore, area to be whitewashed =63m2+27m2
Area to be whitewashed =90m2
Cost of whitewashing = rate at which area is being whitewashed × area to be whitewashed
Cost of whitewashing =Rs8/m2×90m2
Cost of whitewashing =Rs8×90
Cost of whitewashing =Rs.720.

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