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tahtah99

  • 2 years ago

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

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  1. darthsid
    • 2 years ago
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    What's the formula for the area of the prism?

  2. tahtah99
    • 2 years ago
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    mmm im not sure

  3. tahtah99
    • 2 years ago
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    b*h

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

  5. darthsid
    • 2 years ago
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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.

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

  7. darthsid
    • 2 years ago
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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)

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

  9. tahtah99
    • 2 years ago
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    yessss

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

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

  12. darthsid
    • 2 years ago
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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

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

  14. tahtah99
    • 2 years ago
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    b?

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

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

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

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