Topics / Non-Verbal Reasoning
Plans and elevations (3D views)
These questions show a model made of cubes and ask what it looks like from the top (the plan), the front or the side (the elevations). Each view is flat: you only see the squares facing you, not how deep the model goes.
What is tested
- Matching a cube model to its top, front or side view
- Counting hidden cubes you cannot see directly
- Recognising that different models can share one view
Worked example
Three cubes sit in a row on the table, and a fourth cube sits on top of the LEFT cube. What is the front view?
- From the front you see the three bottom cubes side by side: a row of 3 squares.
- The extra cube is on top of the left cube, so one square sits above the left end.
- Depth does not show in a front view, so nothing else appears.
Answer: An L shape: 3 squares along the bottom and 1 square above the left one
Exam-day checklist
- Decide which direction you are looking from before you start.
- Plan view = looking straight down: count the columns, not the height.
- Front view = one square for each column you can see, as tall as its tallest stack.
- Imagine or build the model with real cubes if you can.
Common mistakes
- Showing height in a plan view.
- Mixing up the front and side views.
- Counting hidden cubes as if you could see them.
Try it yourself
1. A tower of 3 cubes is stacked straight up. What is its plan (top) view?
Show answer
1 square
From above you only see the top of the tower.
2. Two cubes sit side by side and a third sits on top of the RIGHT cube. What is the front view?
Show answer
2 squares along the bottom with 1 above the right one
Each stack shows as tall as it is; the right stack is 2 cubes high.
Practise plans and elevations (3d views) with school-style questions
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