A net that folds into a

dodecahedron is made up
of pentagons. If you
decompose each pentagon
into one triangle and one
trapezoid, how many
triangles and how many
trapezoids are there? choose one

60 triangles and 0
trapezoids
10 triangles and 10
trapezoids
12 triangles and 12
trapezoids
6 triangles and 6
trapezoids

1 answer

A dodecahedron has 12 faces, and each face is a pentagon. If we decompose each pentagon into one triangle and one trapezoid, then:

  • Each of the 12 pentagons will produce 1 triangle and 1 trapezoid.

Therefore, the total number of triangles and trapezoids generated would be:

  • Number of triangles = 12 (one from each pentagon)
  • Number of trapezoids = 12 (one from each pentagon)

The correct choice is:

12 triangles and 12 trapezoids.