List of top Visualization and spatial reasoning Questions on 3D geometry

A perspective object is rotated 180° about the y-axis, then 180° about the z-axis. Which perspective view matches?

The figure shows a 3×3×3 cube with 4 colours. Each colour corresponds to a sub-block detached and shown separately. Identify the correct red block shape.

Which of the options on the right can be formed by folding the profile shown on the left?

A paper strip is rolled and punched by a triangular punch. After unrolling, what pattern of holes would appear on the strip?

In a 3D structure made of cubes of equal size, an L-shaped hole is made by removing a few cubes, as shown on the left. Which of the 3D structures in the options on the right would successfully pass through the L-shaped hole, given that they are also made of cubes of the same size?

Identify the option that will replace the missing 3D figure in the sequence.

Four cut-outs of shapes (labelled \(\,p, q, r, s\,\)) are shown. Using one or more cut-out pieces, how many unique combinations can make a square/rectangle? (Different combinations of pieces count as different, even if the final rectangle looks the same. Rotations/reflections of the same piece-combination count as one.)

How should the two solids be joined in order to form a tetrahedron? 

A light source is attached to a rod fixed in the centre of the ceiling of a square room. It rotates 360° and projects a red beam onto the four walls. Which option correctly shows the beam’s path?

Shown is a quadrant that is mirrored first on the x-axis and then on the y-axis. Identify the correct complete figure.

Thamarai’s father makes a roti. She folds it and packs it. Identify the folded roti.

The figure shows the top view, front view, and side view of a 3D solid. What is the minimum number of surfaces that a solid with these views can have? Assume no hidden lines. 

Two perspective views of the same solid object are shown. Count the total number of surfaces in the object. Assume hidden surfaces are flat.

A diagram of three blocks A, B, and C and their movement is shown. The blocks bounce back after hitting the walls. A moves at 2 units/s, B and C move at 1 unit/s. From the given positions, what is the least time (in seconds) for all three blocks to align exactly one below the other?

A UNION of two solids, a pentagonal prism and a hexagonal prism, is shown. The side view depicts how they intersect. Visualise the new solid formed by their INTERSECTION (the part common to both). How many surfaces will the new solid have? 

Two perspective views of the same solid object are shown. Count the total number of surfaces in the object. Assume hidden surfaces are flat.

A UNION of two solids, a pentagonal prism and a hexagonal prism, is shown. The side view depicts how they intersect. Visualise the new solid formed by their INTERSECTION (the part common to both). How many surfaces will the new solid have? 

A diagram of three blocks A, B, and C and their movement is shown. The blocks bounce back after hitting the walls. A moves at 2 units/s, B and C move at 1 unit/s. From the given positions, what is the least time (in seconds) for all three blocks to align exactly one below the other? 

Identify which of the given plan views (nets) can be folded to make the 3D object shown (a short cylinder with a tall, thin rectangular slab attached on its circular top and extending upward). 

A triangular prism is cut into two parts, P and Q, as shown. Which option represents part P? 

Identify which net can be folded to make the shown 3D object. 

The image below shows a 3D object. Only one option shows the same object from a different view. Identify it.

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. 

Count the number of cubes in the figure. No cube has been removed from parts that are not visible.