sital10 sital10

15-03-2019
Mathematics

contestada

If the length of room is four times the height and breadth is twice of its height and the volume of the room is 512 m^2 find its length breadth and height

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Kamikazeminem Kamikazeminem

15-03-2019

[tex]Let \: x \: (x>0) \: be \: the \: height \Rightarrow the \: width, length: 2x,4x \\ Volume:V=hwl = 512 \\ \Leftrightarrow x2x4x = 512 \\ \Leftrightarrow 8{x }^{3} = 512 \\\Leftrightarrow {x}^{3} = 64 \\ \Leftrightarrow x = 4 \\ \Rightarrow The \: height \: is \: 4 \: m, the \: width \: is \: 8 \: m[/tex]

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