# Chapter 15 – Visualising Solid Shapes

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

Introduction

Visualizing solid shapes is an NCERT chapter that makes you familiar with the basics of shapes and geometrical applications of these shapes. You might have come across the solid shapes often around you. We can classify shapes based on the number of axes used to define their dimensions. If you have any object defined using length and breadth only, then it is the two-dimensional shape. If you need three parameters to define the solid shape, then it is a three-dimensional shape. We can use oblique sketches or isometric shapes to depict any three-dimensional shape on 2D paper. Let’s check some examples of geometric shapes of both these categories.

 Two-Dimensional Shapes Three-Dimensional Shapes Triangle Prism Square Pyramid Rectangle Cuboid Rhombus Cube Circle Sphere

#### Drawing Solids on a Flat Surface:

Incorporating any 3D image on a 2D flat surface will remove any one of the solid shape axes. That part of the geometric shape will be depicted on the isometric view on the 2D plane. Visualizing solid objects by drawing solids on a flat surface is a great manual method to print any 3D design in a 2D model. Architects and engineers use this process to build the prototype of their device on paper. There can be two methods to draw solids on a flat surface. They are discussed below.

#### Oblique Sketches:

Oblique sketches are a rough diagram of any 3D object drawn on a flat surface to give a brief idea of that object. It doesn’t show the real dimensions of the 3D object and hence is not used in real measurement patterns. For example, if you draw a cube with freehand drawing, it will be an oblique sketch.

#### Isometric Sketches:

Isometric sketches are also used to depict any 3D shape on a flat 2D surface. These shapes are in correspondence with the measurements of the actual faces of the solid. The isometric sheet consists of equilateral triangle patterned dots that are fashioned on the plane sheet forming two different layers of dots.

#### Viewing different sections of a solid:

We can check solids from different viewing angles and know about their properties. Some of the ways to check the solids in different ways are.

• Viewing the cross-section
• Using shadows
• Viewing at different angles

In isometric projections, you can view solids from different angles: front view, side view, and bottom view.

Another way of viewing any solid object is to cut it into slices to get a cross-section. For example, if you are given a cube, and cut it from between, you’ll get a square shaped cross-section.

We can visualize different sections of solids using shadows. When you project a light source like a torch on the given solid object, you’ll get a shadow projected on the other side of the light source. Different solids have different shadow shapes. For example, the circle will have an oval shadow; the triangular object will have a cone-shaped shadow and more. Any 3D object will have a 2D shaped shadow projection.

#### Conclusion

Visualizing solid shapes is an important chapter in the NCERT textbook covering the basic difference between the 3D and 2D objects around us. The basic difference between these two objects is the number of the axis used to represent them. In three dimensional figures, we use three-dimensional axes to represent the object’s length, breadth, and height. 2D shapes can be easily made on a flat surface as we only need two-length elements for them. But depicting 3D objects is a challenging task as you only have two axes on a flat surface.

#### FAQs

1. What do solid shapes look like?
We can have 2D and 3D shapes that are solid. Solid shapes can be of different types, and we see them around us every day. Such as squares, spheres, circles, rectangles, and more. We can depict any solid object on a flat surface in different types. Those are discussed above.
2. How do you visualize solids?
We can visualize solids by considering some key points like the number of faces, vertices, and edges if we are told that name a 2D shape that has 5 edges and 4 vertices with all faces being equal in size. Then we can use this information to build a geometric shape that will be similar to a square shape.
3. How many solid shapes are there?
We cannot define a fixed number of solid shapes because we can always add a face to the predefined shape, making it bigger. Some of the common examples are triangle, square, rectangle, sphere, and more.
4. What are solid shapes with examples?
Some of the solid shapes with examples are square, cube, cuboid, prism, pyramid, and more. You can also have more shapes like a diamond shape, kite, decagons, and more.
5. How do you identify shapes?
The basic way to identify any shape is to draw it by using all the available information. You can be given different requirements like several faces, vertices, edges, and more.

The topic requires many video tutorials to be explained intuitively because visual learning is the best route to grasp knowledge. On the MSVgo app, you can get all the video tutorials regarding this topic.

### High School Physics

• Alternating Current
• Atoms
• Communication Systems
• Current Electricity
• Dual nature of Radiation and Matter
• Electric Charges and Fields
• Electricity
• Electromagnetic Induction
• Electromagnetic Waves
• Electron Beams and Radioactivity
• Electrons and Photons
• Electrostatic Potential and Capacitance
• Fluid Pressure
• Force and Acceleration
• Force And Laws Of Motion
• Gravitation
• Internal Energy
• Kinetic Theory
• Law of motion
• Light – Reflection And Refraction
• Magnetic Effects Of Electric Current
• Magnetism and Matter
• Management Of Natural Resources
• Mechanical properties of Fluids
• Mechanical properties of Solids
• Motion
• Motion in a plane
• Motion in a straight line
• Moving Charges and Magnetism
• Nuclear Energy
• Nuclei
• Oscillations
• Our Environment
• Paths of Heat
• Physical world
• Ray optics and optical instruments
• Semiconductor Devices
• Semiconductor Electronics: Materials, Devices and Simple Circuits
• Simple Machines
• Sound
• Sources Of Energy
• Specific and Latent Heats
• Spherical Mirrors
• Static Electricity
• Systems of Particles and Rotational motion
• Thermal properties of matter
• Thermodynamics
• Units and Measurement
• Vectors, Scalar Quantities and Elementary Calculus
• Wave Optics
• Waves
• Work, Power and Energy

### High School Chemistry

• Acids, Bases and Salts
• Alcohols, Phenols and Ethers
• Aldehydes, Ketones and Carboxylic Acids
• Aliphatic and Aromatic Hydrocarbons
• Alkyl and Aryl Halides
• Amines
• Analytical Chemistry
• Atomic Structure
• Atoms And Molecules
• Basic concepts of Chemistry
• Biomolecules
• Carbon And Its Compounds
• Carboxylic acids and Acid Derivatives
• Chemical Bonding and Molecular Structures
• Chemical Energetics
• Chemical Equilibria
• Chemical Kinetics
• Chemical Reactions And Equations
• Chemical Reactions and Their Mechanisms
• Chemistry in Everyday Life
• Chemistry of p-Block elements
• Chemistry of Transition and Inner Transition
• Classification of Elements
• Coordination Compounds
• Cyanide, Isocyanide, Nitro compounds and Amines
• Electrochemistry
• Electrolysis
• Elements, Compounds and Mixtures
• Environmental Chemistry
• Equilibrium
• Ethers and Carbonyl compounds
• Haloalkanes and Haloarenes
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• Ionic equilibria
• Matter
• Matter Around Us
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• Mole Concept and Stoichiometry
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• Periodic Classification of Elements
• Physical and Chemical Changes
• Physical and Chemical Properties of Water
• Polymers
• Preparation, Properties and Uses of Compounds
• Principles and Processes of Isolation of Elements
• Redox Reactions
• Relative Molecular Mass and Mole
• States of Matter
• Structure Of The Atom
• Study of Compounds
• Study of Gas Laws
• Study of Representative Elements
• Surface Chemistry
• The d-block and f-block elements
• The Gaseous State
• The p-Block Elements
• The Periodic Table
• The s-Block Elements
• The Solid State
• Thermodynamics

### High School Biology

• Absorption and Movement of Water in Plants
• Adolescent Issues
• Anatomy of Flowering Plants
• Animal Kingdom
• Bacteria and Fungi-Friends and Foe
• Biodiversity and Conservation
• Biofertilizers
• Biological Classification
• Biomedical Engineering
• Biomolecules
• Biotechnology and its Applications
• Biotic Community
• Body Fluids and Circulation
• Breathing and Exchange of Gases
• Cell – Unit of Life
• Cell Cycle and Cell Division
• Cell Division and Structure of Chromosomes
• Cell Reproduction
• Cellular Respiration
• Chemical Coordination and Integration
• Circulation
• Control And Coordination
• Crop Improvement
• Digestion and Absorption
• Diversity In Living Organisms
• Ecosystem
• Environmental Issues
• Excretory Products and their Elimination
• Flowering Plants
• Genes and Chromosomes
• Health and Diseases
• Health and Its Significance
• Heredity And Evolution
• Heredity and Variation
• How Do Organisms Reproduce?
• Human Diseases
• Human Eye And Colourful World
• Human Health and Disease
• Human Population
• Human Reproduction
• Hygiene
• Improvement In Food Resources
• Integumentary System- Skin
• Kingdom Fungi
• Kingdom Monera
• Kingdom Protista
• Life Processes
• Locomotion and Movement
• Microbes in Human Welfare
• Mineral Nutrition
• Molecular Basis of Inheritance
• Morphology of Flowering Plants
• Neural Control And Coordination
• Nutrition in Human Beings
• Organism and Population
• Photosynthesis
• Photosynthesis in Higher Plants
• Plant Growth and Development
• Plant Kingdom
• Pollination and Fertilization
• Pollution; Sources and its effects
• Principles of Inheritance and Variation
• Reproduction and Development in Angiosperms
• Reproduction in Organisms
• Reproductive Health
• Respiration in Human Beings
• Respiration in Plants
• Respiratory System
• Sexual Reproduction in Flowering Plants
• Strategies for Enhancement in Food Production
• Structural Organisation in Animals
• Structural Organisation of the Cell
• The Endocrine System
• The Fundamental Unit Of Life
• The Living World
• The Nervous System and Sense Organs
• Tissues
• Transpiration
• Transport in Plants

### High School Math

• Algebra – Arithmatic Progressions
• Algebra – Complex Numbers and Quadratic Equations
• Algebra – Linear Inequalities
• Algebra – Pair of Linear Equations in Two Variables
• Algebra – Polynomials
• Algebra – Principle of Mathematical Induction
• Algebra – Quadratic Equations
• Binomial Theorem
• Calculus – Applications of Derivatives
• Calculus – Applications of the Integrals
• Calculus – Continuity and Differentiability
• Calculus – Differential Equations
• Calculus – Integrals
• Geometry – Area
• Geometry – Circles
• Geometry – Conic Sections
• Geometry – Constructions
• Geometry – Introduction to Euclid’s Geometry
• Geometry – Three-dimensional Geometry
• Geometry – Lines and Angles
• Geometry – Quadrilaterals
• Geometry – Straight Lines
• Geometry – Triangles
• Linear Programming
• Matrices and Determinants
• Mensuration – Areas
• Mensuration – Surface Areas and Volumes
• Number Systems
• Number Systems – Real Numbers
• Permutations and Combinations
• Probability
• Sequence and Series
• Sets and Functions
• Statistics
• Trignometry – Height and Distance
• Trignometry – Identities
• Trignometry – Introduction

### Middle School Science

• Acids, Bases And Salts
• Air and Its Constituents
• Basic Biology
• Body Movements
• Carbon and Its Compounds
• Cell – Structure And Functions
• Changes Around Us
• Chemical Effects Of Electric Current
• Chemistry in Your Life
• Coal And Petroleum
• Combustion And Flame
• Components Of Food
• Conservation Of Plants And Animals
• Crop Production And Management
• Electric Current And Its Effects
• Electricity And Circuits
• Elements and Compounds
• Fibre To Fabric
• Food production and management
• Force And Pressure
• Forests: Our Lifeline
• Friction
• Fun With Magnets
• Garbage In, Garbage Out
• Getting To Know Plants
• Health and Hygiene
• Heat
• Hydrogen
• Life Processes: Nutrition in Animals and Plants
• Light, Shadows And Reflections
• Materials: Metals And Non-Metals
• Matter and Its States
• Metals and Non-metals
• Micro Organisms: Friend And Foe
• Motion And Measurement Of Distances
• Motion And Time
• Nutrition In Animals
• Nutrition In Plants
• Organization in Living Things
• Our Environment
• Physical And Chemical Changes
• Pollution and conservation
• Pollution Of Air And Water
• Reaching The Age Of Adolescence
• Reproduction In Animals
• Reproduction In Plants
• Respiration In Organisms
• Rocks and Minerals
• Separation Of Substances
• Simple Machines
• Soil
• Some Natural Phenomena
• Sorting Materials Into Groups
• Sound
• Stars And The Solar System
• Structure of Atom
• Synthetic Fibers And Plastics
• The Living Organisms And Their Surroundings
• Transfer of Heat
• Transformation of Substances
• Transportation In Animals And Plants
• Universe
• Waste-water Story
• Water: A Precious Resource
• Weather, Climate And Adaptations Of Animals To Climate
• Winds, Storms And Cyclones

### Middle School Math

• Addition
• Area and Its Boundary
• Boxes and Sketches
• Data Handling
• Fun With Numbers
• Heavy and Light
• How Many
• Long And Short
• Mapping
• Measurement
• Money
• Multiplication and Factors
• Multiply and Divide
• Numbers
• Parts and Wholes
• Pattern Recognition
• Patterns
• Play With Patterns
• Rupees And Paise
• Shapes And Angles
• Shapes And Designs
• Shapes and Space
• Similarity
• Smart Charts
• Squares
• Subtraction
• Tables And Shares
• Tenths and Hundredths
• Time
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