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tahtah99

The height of an equilateral rectangular prism decreases by two units. The new lateral area is less than the original by how much? Answer two times the area of the base two times the perimeter of the base two less than the the area of the base two less than the perimeter of the base I think it is C but im not sure

  • 2 years ago
  • 2 years ago

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  1. darthsid
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    What's the formula for the area of the prism?

    • 2 years ago
  2. tahtah99
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    mmm im not sure

    • 2 years ago
  3. tahtah99
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    b*h

    • 2 years ago
  4. darthsid
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    |dw:1331785747771:dw|

    • 2 years ago
  5. darthsid
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    That's a rectangular prism. The lateral surface area is the area of the 4 sides, not including the base and the top.

    • 2 years ago
  6. darthsid
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    so the formula for the lateral surface area is Perimeter of base X height

    • 2 years ago
  7. darthsid
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    Now, if the new height is decreased by two, so it is h-2 so the area is : P x (h-2)

    • 2 years ago
  8. darthsid
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    are you understanding so far?

    • 2 years ago
  9. tahtah99
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    yessss

    • 2 years ago
  10. darthsid
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    \[P \times ( h-2) = P \times h - P \times 2\]

    • 2 years ago
  11. tahtah99
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    so it would be D ?

    • 2 years ago
  12. darthsid
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    But, P x h is the area of the original prism! the above equation basically says: New Area = Old Area - P x 2

    • 2 years ago
  13. darthsid
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    No, P x 2 means Perimeter times 2

    • 2 years ago
  14. tahtah99
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    b?

    • 2 years ago
  15. darthsid
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    yeah, it's B

    • 2 years ago
  16. tahtah99
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    thank you once again : )

    • 2 years ago
  17. darthsid
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    Glad to help, good luck!

    • 2 years ago
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