AMC 10 Step by Step
Log inSign up
Printable

2011 AMC 10A Problem 24

Include the solutionBack to the problem
2011 AMC 10A Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 4 of 5 · about 8 min · position P21-25

Two distinct regular tetrahedra have all their vertices among the vertices of the same unit cube. What is the volume of the region formed by the intersection of the tetrahedra?

  1. A)

    112\frac{1}{12}

  2. B)

    212\frac{\sqrt{2}}{12}

  3. C)

    312\frac{\sqrt{3}}{12}

  4. D)

    16\frac{1}{6}

  5. E)

    26\frac{\sqrt{2}}{6}

Working