A tetrahedron was cut from the corner of a cube, with three of its vertices at the midpoints of three edges of the cube…

The following question comes from the subject test:
A tetrahedron was cut from the corner of a cube, with three of its vertices at the midpoints of three edges of the cube. If tetrahedrons of the same size are cut from the remaining seven corners of the cube, how many faces will the resulting solid have?

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A shoe manufacturer increases the length of a shoe 1/6 inch in order to increase the shoe size by one half size…

Hey, Mike! This question is from SAT October 2015 Test; section 9-Math; Question #12. A shoe manufacture increases the length of a shoe 1/6 inch in order to increase the shoe size by one half size. If a size 6-shoe is 9 1/2 inches in length, what is the length of a size 8 1/2 shoe?
A) 9 2/3 in B) 9 3/4 in C) 9 11/12 D) 10 1/6 E) 10 1/3

Thank you.