Question

David has a triangular prism that has an equilateral base. Also, the base of the prism is of the same length as its height. Pick all the possible shapes that can be obtained either by horizontal or vertical slicing through the prism

Answer 1

a) Triangle

b) Rectangle

Explanation:

A triangular prism that has an equilateral base and a height with the same length as the base of the prism.

a) Shape from horizontal slicing

A plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. So the cross section of the horizontal slicing is an equilateral triangle (all the sides of the triangle are equal).

b) Shape from vertical slicing

If the triangular prism is sliced vertically, the resulting shape would be a rectangle with a length that is the same as the base of the prism.