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The rectangular prism shown has a surface area of 426 square inches. the height is 9, the width is 5, the length is unknown. what is the length of the prism

User Fedest
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The surface area of a rectangular prism is:

A=2(LW+LH+WH)

LW+LH+WH=A/2

LW+LH=(A/2)-WH

L(W+H)=[(A/2)-WH]

L=[(A/2)-WH]/(W+H), we are told that A=426, H=9, and W=5 so:

L=(426/2-5*9)/(5+9)

L=(213-45)/(14)

L=168/14

L=12 in



User Rjk
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4 votes

12 according to your ttm.

User Khrob
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