Question

If a plane slices the solid figure shown below, what is the largest number of sides the cross section can have? Type your answer as a number.

Largest number of sides =

Answer 1

5

Explanation:

Answer 2

5

Explanation:

The figure has 5 faces. A plane can be chosen that slices all of them, hence results in a 5-sided cross-section figure.

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How

Draw a line on one of the triangular bases that is not parallel to any edge. It must intersect 2 of the 3 edges. Draw a line on the opposite triangular base parallel to the first line, but that intersects the edge parallel to the one not intersected by the first line.

The plane containing the two lines you drew will intersect all 5 faces of the prism.