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CTET Mathematics
SHAPES & GEOMETRY
SHAPES
2D & 3D Shapes
Formulae
solids (3D)
• Rectangular Room/ Box:- If the dimensions of a room are L,
B and H, then the volume of air inside the room is L×B×H cu
unit.
• Marble Balls:- it is a solid spherical shape. If its radius is r,
then volume is 4/3πr3.
• Cubical Dice:- 3d object, have all sides equal. If its
dimension is a, then the volume is a3.
• Cylindrical Glass:- it is a pattern of hollow cylindrical shape.
Volume of liquid in the glass is πr2h cu unit.
• Conical cape:- birthday cap or magician cap. If its base r,
height h, then the volume is 1/3πr2h cu unit.
Geometry
• Point:- a point has neither length nor width. It has neither
area nor volume. Every curve is made up of a set of points.
Centre of a circle is point.
• Line:- collection of points that extends forever without
ends.
• Line Segment:- part of line. It has two end point and of
definite length.
• Intersecting Lines:- two lines having same point called
intersecting lines.
• Parallel Lines:- two lines in a plane which do not intersect
anywhere, called parallel line.
• Angles:- an angle is made by two line segment with a
common en point.
• Classification of Angles
• Triangle:- A closed figure which has three sides, three
angles and three vertices is called the triangle.
• Types of triangle
• Quadrilateral:- A figure which is formed by joining any four
non-collinear point is called quadrilateral. The sum of all
angles of quadrilateral is 360.
• Types of Quadrilateral

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CTET Mathematics SHAPES & GEOMETRY

  • 3. 2D & 3D Shapes
  • 4. Formulae solids (3D) • Rectangular Room/ Box:- If the dimensions of a room are L, B and H, then the volume of air inside the room is L×B×H cu unit. • Marble Balls:- it is a solid spherical shape. If its radius is r, then volume is 4/3πr3. • Cubical Dice:- 3d object, have all sides equal. If its dimension is a, then the volume is a3. • Cylindrical Glass:- it is a pattern of hollow cylindrical shape. Volume of liquid in the glass is πr2h cu unit. • Conical cape:- birthday cap or magician cap. If its base r, height h, then the volume is 1/3πr2h cu unit.
  • 5. Geometry • Point:- a point has neither length nor width. It has neither area nor volume. Every curve is made up of a set of points. Centre of a circle is point. • Line:- collection of points that extends forever without ends. • Line Segment:- part of line. It has two end point and of definite length. • Intersecting Lines:- two lines having same point called intersecting lines. • Parallel Lines:- two lines in a plane which do not intersect anywhere, called parallel line.
  • 6. • Angles:- an angle is made by two line segment with a common en point. • Classification of Angles
  • 7. • Triangle:- A closed figure which has three sides, three angles and three vertices is called the triangle. • Types of triangle
  • 8. • Quadrilateral:- A figure which is formed by joining any four non-collinear point is called quadrilateral. The sum of all angles of quadrilateral is 360. • Types of Quadrilateral