Boxes and Sketches – Complete Guide For Class 5 Math Chapter 9

Welcome to iPrep, your Learning Super App. Our learning resources for the chapter, Boxes and Sketches in Mathematics for Class 5th are designed to ensure you grasp this concept with clarity and perfection. Whether studying for an upcoming exam or strengthening your concepts, our engaging animated videos, practice questions and notes offer you the best-integrated learning with interesting explanations and examples. 

The chapter Boxes and Sketches introduces students to the fascinating world of three-dimensional shapes and how to represent them on a two-dimensional surface. Through engaging activities and examples, students explore concepts related to 3D objects like cubes and cuboids, learning how to visualize, draw, and understand their structure. Key topics include identifying different views of a 3D shape, understanding nets of boxes, and drawing accurate sketches of these shapes from various angles (front, side, and top views). This chapter helps students develop spatial reasoning skills by exploring how 3D objects are represented in the 2D world.

Boxes and Sketches 

This chapter “Boxes and Sketches” introduces students to the exciting world of 3D shapes, their representation, and visual understanding. 

3D Shapes

Understanding the concepts of boxes and sketches requires an understanding of 3D shapes. These 3D shapes have three dimensions: length, width, and height. These dimensions make them different from flat, 2D shapes like squares or circles. 

Examples of 3D shapes include cubes, cuboids, cylinders, and spheres.

In this chapter, we primarily focus on cubes and cuboids, both of which have flat surfaces and are made up of squares and rectangles.

Nets of 3D Shapes

A net is a 2D representation of a 3D shape. Think of it as the layout or pattern you would use to build the shape if you were folding paper. 

For example, if you take apart a cube by unfolding it, you will see six squares connected in a specific arrangement. This pattern is called the net of the cube.

Example:

Ramya went to buy sweets. The shopkeeper took a paper cut-out and quickly made a lovely pink box for the sweets!

After coming home Ramya unfolded the box. She removed the extra flaps so the cut-out looked like this.

Cutouts can be of different shapes.

The objective is to help students understand and differentiate between flat figures and solid objects.

These two different cut-outs can be folded into a cube because they have 6 faces.

Shapes for Open boxes

The conceptual understanding of Boxes and Sketches also requires an understanding of Shapes of Open Boxes. As this concept unfolds, students learn how an open box is different from a closed one, as it does not have a top face. Through hands-on activities and examples, students explore various nets of open boxes, visualizing how 2D cut-outs can be folded into 3D shapes without a top.

For instance, imagine unfolding an open box to lay it flat on a surface; students can then examine how each face corresponds to different parts of the box. This exploration enhances their spatial awareness by helping them differentiate between fully enclosed boxes and those that are partially open, developing their ability to visualize, create, and sketch these objects from different perspectives.

By grasping the Shapes of Open Boxes, students strengthen their overall comprehension of how three-dimensional objects are represented in two-dimensional forms, solidifying their understanding of Boxes and Sketches in a fun and practical way.

Boxes and Boxes 

All boxes are not cubes. Here are some different kinds of boxes. 

Match the shape on the left with a box into which it will fold.

Identifying Common 3D Shapes

One of the first tasks in the chapter “Boxes and Sketches” is to recognize everyday objects that are examples of 3D shapes. Some common examples discussed include:

• Cubes: Such as dice or ice cubes.
• Cuboids: Like matchboxes or bricks.
• Cylinders: Objects like a can of soda or a pipe.
• Cones: Ice cream cones or traffic cones.
• Spheres: Balls or marbles.

Counting Faces, Edges, and Vertices

Going further in the chapter “Boxes and sketches” brings us to counting faces edges and vertices. Each 3D shape has certain properties that distinguish it from other shapes. These properties include:

• Faces: The flat surfaces of the shape.
• Edges: The lines where two faces meet.
• Vertices: The points where edges meet.

For example, a cube has 6 faces, 12 edges, and 8 vertices. Students learn how to count these elements for various shapes, including cubes, cuboids, cylinders, and pyramids.

These real-life objects help students relate 3D shapes to their surroundings, making the concept more tangible.

Floor Maps

For making a house a floor map is first made. It shows where the windows and the doors are in the house. 

Deep Drawings

The conceptual understanding of Boxes and Sketches also hinges on mastering Deep Drawing. This technique adds depth to the representation of 3D shapes, allowing students to grasp volume and spatial relationships more effectively. Through Deep Drawing, students learn to transform flat figures into detailed 3D illustrations, visualizing how shapes like cubes and cuboids appear in real life.

By practicing Deep Drawing in conjunction with Boxes and Sketches, students experiment with different perspectives, enhancing their creativity and problem-solving skills. This foundational knowledge not only aids in mathematics but also has practical applications in fields like architecture and design.

Ultimately, a solid grasp of Boxes and Sketches, paired with Deep Drawing, equips students with essential tools to navigate the world of shapes confidently. With engaging resources from iPrep, learners can fully explore these concepts, ensuring a comprehensive understanding of both Boxes and Sketches and their real-world relevance.

Let’s understand this with an example of drawing a house-

Note: Deep Drawings should be matched with the floor map of the house.

Let’s understand one more example.

Deep drawings of Cube

A Simple Way to Draw a Cube

• Draw two squares like this to show the front face and the back face.

• Join the corners of the squares like this to make a deep drawing of the box.

Here we have another example of a folded cutout that forms a cube.

(a), (d) and (e) are the correct deep drawings.

Drawing 3D Shapes: Front, Top, and Side Views

When we look at an object, we see it from a specific angle. However, to fully understand its structure, we need to see it from different perspectives. 

This chapter introduces the idea of front, top, and side views of 3D shapes.

• Front View: This is what you see when you look at the object from the front.
• Top View: This is the view when you look at the object from above.
• Side View: This shows what the object looks like from the side.

Example:

Matchbox Play – View from different sides

Navin, Bhaskar, and Pratigya made this bridge using matchboxes.

Now we can see the different views of this bridge.

Front View

Top View

Let’s understand one more example.

Here are some drawings of the model.

We can easily find the side view and the top view of the given model.

Conclusion

In conclusion, CBSE Class 5th Math, Chapter 9 – Boxes and Sketches is an exciting journey into the world of 3D shapes and how they are represented in two dimensions. By exploring cubes, cuboids, and other objects around us, students develop a deeper understanding of spatial reasoning, which is essential for many real-life applications. From learning about nets of shapes to drawing front, side, and top views, Boxes and Sketches empowers students to visualize and comprehend three-dimensional structures better. Dive into iPrep’s rich resources to master Boxes and Sketches and take your learning experience to the next level!