The breadth of a room is twice its height and half its length. The volume of the room is 512 cu.m. The length of the room is :
Options:
A .  16 m
B .  18 m
C .  20 m
D .  32 m
Answer: Option A Let the height of the room be x metres Then, breadth = 2x metres and length = 4x metres ∴ Volume of the room : = (4x × 2x × x) m3 = (8x3) m3 8x3 = 512 ⇒ x3 = 64 ⇒ x = 4 ∴ Length of the room is : = 4x = (4 × 4) = 16 m
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