Question

A square prism has its base on H.P and its faces equally inclined to V.P is cut at most critical place by a plane which is perpendicular to V.P and inclined 60 degrees with H.P the section will have shape like a __________

(a) irregular pentagon

(b) rectangle

(c) trapezium

(d) parallelogram

This question was addressed to me during an internship interview.

Question is taken from Sections of Prisms topic in division Section of Solids of Engineering Drawing

Answer 1

Right option is (a) irregular pentagon

For explanation I would say: Prisms are obtained by extruding required shape up to some appreciable length so there will be same cross-section along the length perpendicular to axis. If the cutting plane is parallel to axis we get rectangle if inclined to axis the section depends on the position where it is cutting.