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The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m^2. - Mathematics

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Question

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.

Solution

It is given that

Length (l) of room = 5 m

Breadth (b) of room = 4 m

Height (h) of room = 3 m

It can be observed that four walls and the ceiling of the room are to be white-washed. The floor of the room is not to be white-washed.

Area to be white-washed = Area of walls + Area of ceiling of room

= 2lh + 2bh + lb

= [2 × 5 × 3 + 2 × 4 × 3 + 5 × 4] m2

= (30 + 24 + 20) m2

= 74 m2

Cost of white-washing per m2 area = Rs 7.50

Cost of white-washing 74 m2 area = Rs (74 × 7.50)

= Rs 555

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Chapter 13: Surface Area and Volumes - Exercise 13.1 [Page 213]

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NCERT Mathematics [English] Class 9
Chapter 13 Surface Area and Volumes
Exercise 13.1 | Q 2 | Page 213

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