anonymous
  • anonymous
find the surface area and volume of a rectangular prism with dimensions x, 3x+4, 3x+6
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Let x be the height, 3*x+4 the width and 3*x+6 the length. Surface area = twice the sum of the height, width and length. \[2x(4+3x)+2x(6+3x)+2(4+3x)(6+3x)\text{=}48+80x+30x^2\] Volumn is the product of the height, width and length. \[x (4+3 x) (6+3 x)\text{==}24 x+30 x^2+9 x^3 \]
anonymous
  • anonymous
Surface area above is incorrect. It should have been: \[2(x+(3x+4)+(3x+6))\text{==}14 x+20 \]

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