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2011 AMC 10B Problem 22

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2011 AMC 10B Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 4 of 5 · about 7 min · position P21-25

A pyramid has a square base with sides of length 11 and has lateral faces that are equilateral triangles. A cube is placed within the pyramid so that one face is on the base of the pyramid and its opposite face has all its edges on the lateral faces of the pyramid. What is the volume of this cube?

  1. A)

    52−75\sqrt{2} - 7

  2. B)

    7−437 - 4\sqrt{3}

  3. C)

    2227\frac{2\sqrt{2}}{27}

  4. D)

    29\frac{\sqrt{2}}{9}

  5. E)

    39\frac{\sqrt{3}}{9}

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