anonymous
  • anonymous
Each dimension of a rectangular prism is increased by 10%. What percent of the original volume is the volume of the new prism?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Do you know the formula for volume of Rectangular Prism??
anonymous
  • anonymous
\[Volume = Length \times Width \times Height\]
anonymous
  • anonymous
find the length and width of rectangular base after increment find volume before and after increament and calculate percentage

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anonymous
  • anonymous
volume of rectangular prism is 1/3(area of base times height)
anonymous
  • anonymous
So now each dimension is increased by 10%. Say length be l l is increased by 10% So now it has becomes: l + \(\frac{10}{100}l\) = \(\frac{11}{10}l\) Similarly other two lengths will be the same: \[Volume = \frac{11 \times 11 \times 11}{1000}LWH\]
anonymous
  • anonymous
This is the new volume..

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