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 :

A. 16 m

B. 18 m

C. 20 m

D. 32 m

Answer: Option A

Solution(By Examveda Team)

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