Q7 of 67 Page 187

A room whose floor is a square of side 6 m contains 180 cubic metre of air. Find the height of the room.

Length of room= l = 6 m


Breadth of room = b = 6 m


Let height of room be h


Room contains 180 cubic metre of air which means volume of room is 180 m3


Room is in the shape of a cuboid


Volume of cuboid = lbh


⇒ 180 = 6 × 6 × h


⇒ 180 = 36h


⇒ h =


⇒ h = 5 m


Height of room is 5 m


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