The cube, the cuboid, the sphere, the cylinder, the cone, and the pyramid are examples of solid shapes.ģD objects have different views from different positions. Also, a solid object occupies some space. Hence, they are called three-dimensional shapes. The circle, the square, the rectangle, the quadrilateral, and the triangle are examples of plane figures.Ī solid object has three measurements like length, breadth, height, or depth. Two-dimensional or 2-D shapes do not have any thickness and can be measured in only two faces.Ī plane figure can be made of straight lines, curved lines, or both straight and curved lines. The 2-dimensional shapes or objects in geometry are flat plane figures that have two dimensions – length and width. A point is dimensionless.Ī line segment drawn on a surface is a one-dimensional object, as it has only length and no width. In our day to day life, we see several objects like books, balls, ice-cream cones, etc., around us which have different shapes.Ī point is a zero-dimensional object as it has no length, width, or height. In simpler terms, it is the measurement of the length, width, and height of anything. Plane Figures and Solid Shapes: What are Dimensions?ĭimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. Factorisation by Taking Out Common Factors.
Comparing Very Large and Very Small Numbers.Use of Exponents to Express Small Numbers in Standard Form.Negative Exponents and Laws of Exponents.Decimal Number System Using Exponents and Powers.Concept of Surface Area, Volume, and Capacity.Nets for Building 3-d Shapes - Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism.Multiplication of Algebraic Expressions.Types of Algebraic Expressions as Monomials, Binomials, Trinomials, and Polynomials.Terms, Factors and Coefficients of Expression.Applications of Compound Interest Formula.Rate Compounded Annually Or Half Yearly (Semi Annually).Deducing a Formula for Compound Interest.Concept of Principal, Interest, Amount, and Simple Interest.Sales Tax, Value Added Tax, and Good and Services Tax.Concepts of Cost Price, Selling Price, Total Cost Price, and Profit and Loss, Discount, Overhead Expenses and GST.Finding the Cube Roots of the Cubic Numbers Through the Estimation Method.Cube Root Through Prime Factorisation Method.Some Interesting Patterns of Cube Numbers.Finding Square Root Through Prime Factorisation.Finding Square Root Through Repeated Subtraction.Some More Interesting Patterns of Square Number.Concept of Pie Graph (Or a Circle-graph).Graphical Representation of Data as Histograms.Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given.Constructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known.
Reciprocal Or Multiplicative Inverse of Rational Numbers.Negative Or Additive Inverse of Rational Numbers.Identity of Addition and Multiplication of Rational Numbers.Distributive Property of Multiplication Over Addition for Rational Numbers.Associative Property of Rational Numbers.Commutative Property of Rational Numbers.
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