taylerrichards
taylerrichards taylerrichards
  • 10-05-2022
  • Mathematics
contestada

(Worth 16 pts!) what lengths could I use to make this prism have a surface area of 200!?

Worth 16 pts what lengths could I use to make this prism have a surface area of 200 class=

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sqdancefan
sqdancefan sqdancefan
  • 10-05-2022

Answer:

  5 by 5 by 7.5

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula ...

  A = 2(LW +H(L +W)

__

There are many ways to choose L, W, and H to give the desired area. One way is to arbitrarily choose L = W = 5, then we have ...

  200 = 2(5·5 +H(5 +5))

  200 = 20H +50 . . . . . . . simplify

  150 = 20H . . . . . subtract 50

  H = 7.5 . . . . . . divide by 20

Possible dimensions are ...

  5 by 5 by 7.5

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