Question

Three objects are given — one cube and two right-angled prisms. They can be merged to form one 3D object. From the options, choose the possible object(s) formed by this merging. 

• A. A
• B. B
• C. C
• D. D

Hint:

Match faces by size first; orientation (slopes) can be achieved by rotations/flips after a \(2\times2\) face locks to the cube.

Answer 1

The Correct Option is A, B, C, D

Each triangular prism has a \(2\times2\) rectangular face that mates exactly with any face of the cube (edge \(=2\)).
By rotating/flipping the prisms, all four shown assemblies can be created: roof-like \((A)\), skewed roof \((B)\), pyramid-like cap \((C)\), and stepped/wedged block \((D)\).
Therefore, all options are possible: \(\boxed{(A), (B), (C), (D)}\).