Answer: 162 square meters
Step-by-step explanation:
Given: l=2b, which means b=l/2 (1)
h=1/3l (2)
To find: Area of the floor (lxb)
Solution: Volume of air in the room=972 cubic meters
We know that volume of a cuboid = l x b x h
⇒ 972 = l x l/2 x l/3 (from (1) and (2))
⇒ 972 = l³/6
⇒ l³ = 972 x 6
⇒ l³ = 5832
⇒ l = 18
Substituting l = 18 in (1), we get b = 9
∴ l x b = 18 x 9
= 162 square meters
Hence the area of the floor is 162 square meters.
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