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  • 18-08-2017
  • Mathematics
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Find the height of a box with the length of 11in and a width of 3in

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Banabanana
Banabanana Banabanana
  • 18-08-2017
length (l) = 10 in
width (w) = 3 in
height (h)  = x

[tex]\text{surface area} = 2lw + 2wh + 2lh\\ \text{surface area}= 2*10*3 + 2*3x + 2*10x=60+6x+20x=60+20x \\ \\\text{volume}=lwh\\\text{volume}=10*3*x=30x \\ \\ \\ \text{volume}=\text{surface area (given)} \\ 30x=60+26x \\ 30x-26x=60 \\ 4x=60 \\ x=60/4\\x=15 \ in[/tex]
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