Question

The breadth of a room is twice it's height and half of it's length.The volume of the room is 512 m^3.Find its dimensions.

Answer 1

let

height if room be x cm

so breadth of room= 2x cm

ATQ

breadth is half of length

so length of room =4x cm

now

volume=512cm^3

so x*2x*4x = 512

8x^3 =512

x^3 = 64

so x = 4 CM = height

2x = 8 CM = breadth

4x = 16cm = length

Answer 2

let x be the breadth of the room
so the height is 2x
and length is x/2

volume of the room =512m^3
=l×b×h
=x × x/2 × 2x=512
x^3=512
x=cube root of 512


so x is 8
so length is 4
breadth is 8
height is 16