Question

The width of a room is double than its height and half of its length, if the volume of the room is 512 meters, it will be the length of the room.

Answer 1

Consider l, b and h are the length, breadth and height of the room.

So, b = 2h and b = (1/2)l

⇒ l/2 = 2h

⇒ l = 4h

⇒ l = 4h, b = 2h

Now, Volume = 512 m3

⇒ 4h ∗ 2h ∗ h = 512

⇒ h3 = 64

⇒ h = 4

So, Length of the room (l) = 4h = 4 * 4 = 16 m

Breadth of the room (b) = 2h = 2 * 4 = 8 m

And Height of the room (h) = 4 m.