NCERT Class 5 Mathematics Math-Magic: Chapter 9 — Boxes and Sketches
This chapter, 'Boxes and Sketches' from NCERT Class 5 Mathematics Math-Magic, introduces students to the visualization of 3-dimensional shapes and their 2-dimensional representations. It explores how flat cut-outs, called nets, can be folded to form boxes. Students learn to identify which shapes can be folded into a cube and an open box. The chapter uses examples like sweet boxes and paper cubes to illustrate concepts. It encourages students to draw different nets and understand the properties of cubes, such as the number of faces and the shape of each face. The chapter also touches upon perspective drawings and layout plans, enhancing spatial reasoning skills crucial for CBSE mathematics.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 5 |
| Subject | Mathematics |
| Book | Math-Magic |
| Chapter | Chapter 9 — Boxes and Sketches |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 302 |
Learning outcomes
- Identify and visualize 3D shapes from their 2D representations (nets).
- Determine which nets can be folded to form a cube or an open box.
- Understand the properties of a cube, including its faces.
- Draw different nets that can form a cube.
- Recognize objects in the real world that resemble a cube.
Vocabulary
| Word | Meaning |
|---|---|
| Net | A flat pattern that can be folded to form a 3D shape. |
| Cube | A 3D shape with six equal square faces. |
| Face | A flat surface of a 3D shape. |
| Fold | To bend something over on itself. |
| Cut-out | A shape cut from a larger piece of material. |
| 3-dimensional | Having length, width, and height. |
| 2-dimensional | Having length and width. |
The complete chapter text is read in the official NCERT PDF viewer below (streamed from ncert.nic.in). This page provides NCERT Help study material — summary, vocabulary, practice questions, and FAQs — not a full reproduction of the textbook.
Read chapter online
This PDF is loaded from the official NCERT website (ncert.nic.in). Use the page buttons below to read — download is disabled on NCERT Help.
Read page by page below. PDF is streamed from the official NCERT website — no download button on this page.
Practice questions
- Which of the given shapes can be folded to make a box? Answer: Shapes that have a net suitable for folding into a box.
- How many faces does a cube have? Answer: A cube has 6 faces.
- Draw one shape that can be folded into a cube. Answer: A net with six squares arranged in a way that they can form a cube.
- What shape are the faces of a cube? Answer: The faces of a cube are squares.
Frequently asked questions
What is a net in the context of boxes and sketches?
A net is a flat pattern that can be folded along dotted lines to form a 3-dimensional shape, like a box or a cube.
Can any flat shape be folded into a box?
No, only specific flat shapes, called nets, can be folded to form a box. The arrangement of faces is important.
What are the characteristics of a cube?
A cube is a 3D shape with six equal square faces, twelve edges, and eight vertices.
What is the difference between a box and an open box?
An open box is a box without a top lid, meaning it has only five faces instead of six.
How does this chapter help in learning mathematics?
This chapter develops spatial reasoning and visualization skills, which are fundamental in geometry and problem-solving in mathematics.
Where can we see cubes in real life?
Cubes can be seen in dice, some boxes, sugar cubes, and building blocks.
Related resources
Important topics
Topics covered
NCERT Class 5 Mathematics — Math-Magic — Chapter 9 — Boxes and Sketches. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.