5. The area of four walls of a room is 90 m. Ir the room is 7 m long and 2 m wide, then find the height of the room.
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Answer:
height of room is 5 cm
Step-by-step explanation:
Four walls of the room means lateral surface area.
We assume the room to be Cuboid as most rooms are in the
form of a Cuboid.
Lateral Surface area of the Room = 90 m^{2}m
2
Length of the Room = 7 meters
Breadth of the Room = 2 meters
Formula to find the Lateral Surface area of a Cuboid = 2h(l + b)
Substituting the values known to us in the Formula used to find the Lateral Surface Area of the Cuboid:
=> 2h(l + b)
=> 2h(7 + 2) = 90
=> 2h(9) = 90
=> 9h = 90 / 2 = 45
=> 9h = 45
=> h = 45 / 9 = 5
=> 5 cm
Therefore, Height of the room is 5 cm.
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