anonymous
  • anonymous
Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x^2 + x + 7. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
You have to multiply V = (2x)(4x²)(2x² + x + 7) Start by multiplying 2x and 4x² Then distribute the result through the parentheses
anonymous
  • anonymous
but can you multiply those two?... because they have different exponents ?
anonymous
  • anonymous
you can multiply if they have the same base. (You just can't add or subtract with different exponents.) When multiplying, add the exponents. When subtracting subtract them. For example \[x^5 \times x^6=x^{5+6}=x^{11}\] \[\frac{ x^9 }{ x^4 }=x^{9-4}=x^5\]

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anonymous
  • anonymous
For your problem you have \[2x \times 4x^2=8x^3\]
anonymous
  • anonymous
okay so it would be (8x^3)(2x^2+x+7) ..?
anonymous
  • anonymous
right, now distribute
anonymous
  • anonymous
16x^5+8x^4+56x^3?
anonymous
  • anonymous
yes :)
anonymous
  • anonymous
yayy thank you!
anonymous
  • anonymous
you're welcome

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