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jarptica [38.1K]
3 years ago
5

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
Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

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

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Step-by-step explanation:

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