Question

Select the correct statements for the given figure.
(i) A horizontal pyramid is placed with its axis parallel to both H.P. and V.P.
(ii) The solid has three triangular faces in total.
(iii) A horizontal pyramid is placed with its axis perpendicular to V.P.
(iv) It is an example of polyhedron.

• A. (i) and (iv) only
• B. (ii) and (iv) only
• C. (i) and (iii) only
• D. (ii) and (iii) only

Hint:

Polyhedrons have flat polygonal faces. A horizontal pyramid has its axis lying flat, not upright.

Answer 1

The Correct Option is A

From the figure, the solid shown is a pyramid with a polygonal base and triangular faces converging to a single apex.
- Statement (i) is correct because the pyramid is lying horizontally, with its axis parallel to both the horizontal plane (H.P.) and the vertical plane (V.P.).
- Statement (ii) is incorrect. The solid clearly has more than three triangular faces; a pyramid with a square base has four triangular faces.
- Statement (iii) is incorrect because the axis is not perpendicular to the V.P.; it lies parallel to both H.P. and V.P., indicating a horizontal orientation.
- Statement (iv) is correct as any solid composed of flat polygonal faces (like this pyramid) is considered a polyhedron.
Hence, the correct statements are (i) and (iv), making option (A) the correct answer.