Common Solid Figures

In third grade geometry we will discuss in brief about some of the common solid figures named below:
(i) Cube: Definition of cube, parts of a cube, properties of a cube.

(ii) Cuboid: Definition of cuboid

(iii) Cylinder: Definition of cylinder

(iv) Cone: Definition of cone

(v) Sphere: Definition of sphere


Definition of a cube:

An object which looks like solid box-shaped that has six identical square faces.

A cube has 6 equal and plane surfaces. All the faces of a cube are square in shape.

In a cube there are 6 plane surfaces. There are 8 vertices and 12 edges.

Parts of a Cube

Two adjoining plane – surfaces meet at an edge. There are 12 edges in a cube and all the 12 edges are equal in length. These edges are straight edges.

The meeting point of two edges is called a vertex. In a cube there are 8 such vertices.


Parts of a cube:

(i) Face: Face is also known as sides. A cube has six faces and all the faces of a cube are square in shapes. Each face has four equal sides.

(ii) Edge: When two edges meet each other a line segment formed. There are 12 edges in a cube. All the 12 edges are equal in length because all faces are squares. These edges are straight edges.

(iii) Vertex: When three edges meet each other a point formed. There are 8 vertices in a cube.

(iv) Face Diagonals: Face Diagonals of a cube is the line segment that joins the opposite vertices of a face. There are 2 diagonals in each face so altogether there are 12 diagonals in the cube.

(v) Space Diagonals: Space diagonals of a cube are the line segment that joins the opposite vertices of a cube, cutting through its interior. There are 4 space diagonals in a cube.


Properties of a cube:

Volume: The volume of a cube is s3 where s is the length of one edge.

Surface Area: The surface area of a cube is 6s2, where s is the length of one edge.

Definition of cuboid:

The cuboid has 6 rectangular faces. The opposite rectangular plane surfaces are identical (equal in all respects). It has 8 vertices and 12 edges.

In a cuboid there are 6 rectangular plane surfaces. There are 8 vertices and 12 edges.

Parts of a Cuboid

A cube is also a cuboid having all its 6 faces equal and square. Thus, a cube has all the six faces identical, whereas a cuboid has the opposite faces identical.


Properties of a cuboid:

Formulas for the above rectangular box:

Volume: The volume of a cuboid is lwh, where l is the length, w is the width and h is the height.

Lateral Surface Area: The lateral surface area of a cuboid is 2lh + 2wh, where l is the length, w is the width and h is the height.

Surface Area: The surface area of a cuboid is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.


Definition of cylinder:

A cylinder stands on a circular plane surface having circular plane surfaces on its top and bottom. Thus a cylinder has two circular plane surfaces, one at its base and another at its top. It has a curved surface in the middle.

It has two edges, at which the two plane surfaces meet with the curved surface. These edges are curved edges.

In a cylinder there are 2 plane surfaces and 1 curved surface. There are 2 edges and no vertices.

Parts of a Cylinder

The base and top of a cylinder are of the same shape (circular) and size. Thus, both are identical.


Definition of cone:

A cone has one plane circular surface, i.e. its base and only one curved surface. In a cone there is 1 plane surface and 1 curved surface. There are 1 edge and 1 vertex.

Parts of a Cone

It has one edge which is formed by the circular plane surface meeting with the curved surface. The edge of a cone is a curved edge.


Definition of sphere:

The ball-like shape is called a sphere. In sphere there is curve surface, no edge and no vertex.

Parts of a Sphere

Some of the common solid figures are explained above in brief with the labeled diagram to get the basic ideas of the solid shapes.


Note:

(i) The surface of solid is called face.

(ii) Edge is formed when two faces meet.

(iii) The point where 3 faces meet is called the corner.

Related Concepts

Basic Shapes

Surfaces of the Solids

Common Solid Figures

Points, Lines and Shapes

Line-Segment, Ray and Line

Types of Lines

Geometrical Design and Models







3rd Grade Math Lessons

From Common Solid Figures to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Place Value | Place, Place Value and Face Value | Grouping the Digits

    Oct 04, 24 09:47 AM

    Place Value of 3-Digit Numbers
    The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th…

    Read More

  2. Worksheet on Subtraction | Practice the Questions | Free Answers

    Oct 04, 24 01:28 AM

    In worksheet on subtraction, all grade students can practice the questions on subtracting numbers with more than two digits. This exercise sheet on subtraction can be practiced by the students

    Read More

  3. Subtraction Word Problems - 2-Digit Numbers | Subtraction Problems

    Oct 03, 24 03:22 PM

    Understand the concept on subtraction word problems - 2-digit numbers for the second grade. Read the question carefully to subtract the two-digit numbers to find the differences and follow the

    Read More

  4. Worksheet on Checking Subtraction Using Addition | Free Answers | Math

    Oct 03, 24 02:22 PM

    Checking Subtraction using Addition
    Here we can use addition to check the answer for the subtraction. Subtract ans check your answer. Find the difference and check your answer using addition.

    Read More

  5. Check for Subtraction and Addition | Checking Subtraction | Problems

    Oct 03, 24 01:13 PM

    Checking Subtraction with Addition
    We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.

    Read More