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2014 AMC 10A Problem 19

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2014 AMC 10A Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 4 of 5 · about 5 min · position P16-20

Four cubes with edge lengths 11 , 22 , 33 , and 44 are stacked as shown. What is the length of the portion of XY‾\overline{XY} contained in the cube with edge length 33 ?

figure

  1. A)

    3335\dfrac{3\sqrt{33}}5

  2. B)

    232\sqrt3

  3. C)

    2333\dfrac{2\sqrt{33}}3

  4. D)

    44

  5. E)

    323\sqrt2

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