Visualising Solid Shapes Class 7 Worksheet — Free PDF Download with Answers

Solid shapes are the chapter where students need to train their spatial imagination, and that is a muscle you cannot build entirely on a flat touchscreen. When a question asks how many faces a pentagonal prism has, the answer comes quickest to the student who has drawn and folded such a shape from a net on paper. The tactile experience of cutting and folding teaches something no app can replicate.

Many Class 7 students find this chapter bewildering at first. They stare at a flat net and cannot see how it could possibly fold into a box. Worksheets with printed nets, which the student can trace or imagine folding, solve exactly this problem. Over a week of practice, the spatial skill clicks and shapes suddenly make sense.

The skill of drawing top, front and side views is another area where paper shines. Students draw the three views on the worksheet, then compare with the answer key. Each wrong answer is redrawn. That loop of draw, check, redraw builds a visual vocabulary of solids that lasts into Class 10 and beyond.

Worksheets also reward persistence. Solid shapes questions sometimes require students to sit with a tricky figure for several minutes. The quiet of paper practice encourages this patience, while an app tends to move students on too quickly.

And there is the reliable screen break. A tactile chapter like this one pairs well with tactile practice. Half an hour at a desk with a pencil, paper and maybe a cardboard box to look at is a good use of study time.

The worksheet covers every sub topic from the Class 7 Visualising Solid Shapes chapter.

Sub topics:

* Plane and solid shapes
* Faces, edges and vertices
* Nets of cubes, cuboids, pyramids and prisms
* Top view, front view and side view
* Cross sections of solids
* Oblique sketches and isometric sketches

Level breakdown:

Total 60 questions with a full answer key.

Revise these before starting the worksheet.

* Faces — The flat surfaces of a solid.
* Edges — The line segments where two faces meet.
* Vertices — The points where edges meet.
* Common solids
* Cube: $6$ faces, $12$ edges, $8$ vertices.
* Cuboid: $6$ faces, $12$ edges, $8$ vertices.
* Triangular prism: $5$ faces, $9$ edges, $6$ vertices.
* Square pyramid: $5$ faces, $8$ edges, $5$ vertices.
* Tetrahedron: $4$ faces, $6$ edges, $4$ vertices.
* Cylinder: $3$ faces, $2$ edges, $0$ vertices (curved surface included).
* Cone: $2$ faces, $1$ edge, $1$ vertex.
* Sphere: $1$ face, no edges, no vertices.
* Euler formula for polyhedra — $F + V - E = 2$.
* Net — A 2D pattern that can be folded to form a 3D solid.
* Views — The top view shows the solid from above. The front view shows it from the front. The side view shows it from one side.

Quick tip: When identifying a net, mentally fold it along the edges. If the result is a closed solid, the net is valid.

Level 1 — Easy

1. How many faces does a cube have?
Solution: $6$.

2. A cone has how many edges?
Solution: $1$ (the circular edge between the base and the curved surface).

3. Name the solid with $4$ triangular faces.
Solution: Tetrahedron.

Level 2 — Medium

1. A polyhedron has $6$ faces and $8$ vertices. Use Euler formula to find the number of edges.
Solution: $F + V - E = 2$, so $6 + 8 - E = 2$, giving $E = 12$.

2. Which solid has $5$ faces, $9$ edges and $6$ vertices?
Solution: Triangular prism.

3. Draw the front view of a cube placed on a table. Describe the shape you would draw.
Solution: A square.

Level 3 — Hard

1. A solid has $12$ faces, $30$ edges and $20$ vertices. Verify the Euler formula.
Solution: $F + V - E = 12 + 20 - 30 = 2$. Verified.

2. A cuboid has length $5$ cm, breadth $4$ cm and height $3$ cm. If it is placed on a table with its $5 \times 4$ face down, what is the shape of its top view?
Solution: A rectangle of dimensions $5$ cm by $4$ cm.

3. A square pyramid has $5$ vertices. How many faces and edges does it have?
Solution: $5$ faces ($1$ square and $4$ triangles) and $8$ edges.

1. Print — Use A4 paper. Keep pencil, ruler and an eraser handy.
2. Warm up — Draw a cube and label its faces, edges and vertices.
3. Time yourself — 15 minutes for Level 1, 25 for Level 2, 30 for Level 3.
4. Check answers — Use the answer key.
5. Revise mistakes — Redraw the net or view for every wrong answer.
6. Try again — Redo wrong questions next day.

Daily plan: 20 minutes per day for two weeks.

Weekly revision: Take a cardboard box from home, cut it along the edges to make a net, then try to fold it back. This hands on exercise makes nets feel real.

1. Missing Euler formula — Students forget $F + V - E = 2$ and try to count each time.

2. Wrong edge count — Miscounting edges on complex solids like prisms and pyramids. Draw the solid and label carefully.

3. Cylinder vertex error — Students sometimes say a cylinder has $2$ vertices. It has $0$.

4. Net confusion — Picking a 2D shape as the net of a solid without mentally folding to check.

5. View labels swap — Drawing the top view but labelling it as front view.

6. Face count in cones — Students sometimes count the curved surface as multiple faces. It counts as one curved face.

CBSE (NCERT)
Visualising Solid Shapes is Chapter 15 of NCERT Class 7 maths. Weightage is around 6 to 8 marks. Questions focus on nets, views and counting faces.

ICSE (Selina / ML Aggarwal)
ICSE treats solid shapes with more depth and includes simple volume calculations for cubes and cuboids. Weightage is around 8 marks.

IB MYP
IB MYP approaches 3D geometry through construction and modelling. Students build solids from nets and analyse their properties as part of a larger geometry unit.

Download the free Class 7 Visualising Solid Shapes worksheet:

* Visualising Solid Shapes CBSE Worksheet
* Solid Shapes ICSE Worksheet

Online practice:

* Visualising Solid Shapes Online — CBSE
* Solid Shapes Online — ICSE

* AI Maths Solver — Upload any 3D geometry question for a step by step solution.
* Spark Coach — Guided AI tutor.
* Class 7 Maths Complete Guide
* All Worksheets Hub
* Class 7 Formulas

Week 1: Basic solids and nets

* Day 1: Read the chapter. Draw and label common solids.
* Day 2: Level 1 questions 1 to 10.
* Day 3: Level 1 questions 11 to 20.
* Day 4: Level 2 nets questions.
* Day 5: Level 2 view questions.
* Day 6: Redo wrong answers.
* Day 7: Rest.

Week 2: Advanced and Euler formula

* Day 8: Level 3 Euler formula questions.
* Day 9: Level 3 multi view questions.
* Day 10: Redo wrong Level 3 answers.
* Day 11: Build three solids from paper nets.
* Day 12: Mixed quiz.
* Day 13: Mock test (30 minutes).
* Day 14: Review.

* Class 7 Perimeter and Area Worksheet
* Class 7 Symmetry Worksheet
* Class 7 Triangles Worksheet
* Class 7 Lines and Angles Worksheet
* Class 7 Maths Complete Guide