Question

The breadth of a room is twice its height, one half of its length and the volume of the room is 512 cu. Find its dimensions

Answer 1

Answer:

16x8x4 cu.units

Step-by-step explanation:

Given,

breadth = 2 x height  -------------- 1

breadth = 1/2 x length ------------- 2

=> 2 x height = 1/2 x length

=> length = 4x height ------------ 3

Also given that, volume = 512 cubic units

=> length x breadth x height = 512

=> 4 x height x 2 x height x height = 512

=> height³ = 512/8 = 64 = 4³

=> height = 4 cubic units

substituting the value of height in 1

we get, breadth = 2 x 4 = 8 cubic units

also, by 3

length = 4 x height = 4 x 4 = 16 cubic units

∴ the dimesions of the room is 16x8x4 cu.units