2023 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 17 Medium

A rectangular box P has distinct edge lengths a, b, and c. The sum of the lengths of all 12 edge of P is 13, the sum of the areas of all 6 faces of P is \frac { 1 1 } { 2 }, and the volume of P is \frac { 1 } { 2 }. What is the length of the longest interior diagonal connecting two vertices of P? (2023 AMC10B Q17)

  • A.

    2

  • B.

    \frac { 3 } { 8 }

  • C.

    \frac { 9 } { 8 }

  • D.

    \frac { 9 } { 4 }

  • E.

    \frac { 3 } { 2 }

Answer:D
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