The owner of a sandwich shop sliced off a section of a block of cheddar cheese, as shown below. The slice includes one complete edge of the block.

Sliced from almost middle of the top face to the bottom right edge

What shape is the face of the newly sliced block of cheese?

A.
a rhombus

B.
a parallelogram

C.
a triangle

D.
a trapezoid

1 answer

To determine the shape of the face of the newly sliced block of cheese, we need to visualize the scenario described. The block of cheese is typically a rectangular prism (cuboid), and the slice extends from the middle of the top face to the bottom right edge.

  1. The slice starts from a point along one edge of the top face (which is usually rectangular).
  2. It goes diagonally down to a point at the bottom face's edge.

In this scenario, the top face is rectangular, and the slicing creates an angled cut that touches one of the corners. This leads to the resulting slice face having one straight edge along the top (which is part of the top face of the cheese) and two angled edges meeting at the bottom.

The resulting shape has:

  • One straight edge (from where the slice started on the top face)
  • Two slanted edges leading to the bottom right corner of the block.

This combination suggests that the new face would take the form of a trapezoid (specifically, an irregular trapezoid) because it has one pair of parallel edges (the top edge from the slice and the front edge from the original block).

Thus, the correct answer is:

D. a trapezoid