Problema Solution

Isabel wants to estimate the length width and height of her bedroom. if the bedroom was empty Her room would be 864 m³ the bedroom length and width are the same measurements the height is half the length and width. what are the dimensions of Isabel's bedroom?

Answer provided by our tutors

let


l = the length

w = the width

h = the height

V = 846 m^3 the volume


the bedroom length and width are the same measurements


l = w


the height is half the length


h = (1/2)l


V = w*l*h


V = l*l*(1/2)l


l^3(1/2) = 864


by solving we find


l = 12 m


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w = 12 m


h = 12/2


h = 6 m


the dimensions of Isabel's bedroom are length is 12 m, width is 12 m and height is 6 m.