Question

The area of 4 walls of a room is 57.4m².If the room is 5m long and 3.2m wide,find the height of the room........​

Answer 1

Answer:

Let height of the room be 'h' meters

Area of four walls of a cuboid is its lateral surface area.

Formula for lateral surface area is 2*(Length+breadth)*height OR 2(l+b)h

According to question

Lateral surface area = 2(l+b)h

57.4 m^2 = 2( 5m + 3.2m)h

57.4 = 2(5+3.2)h

57.4 = 2*8.2*h

57.4 = 16.4h

Dividing both sides by 16.4

57.4/16.4 = 16.4h/16.4

3.5 = h

Therefore, the height of the room is 3.5m

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