mensuration for class 9 cbse
DESCRIPTION
22 slidesTRANSCRIPT
MATHS PROJECT WORK
EXAMPLE OF PLANE AND 3D FIGURES
PLANE FIGURES 3D FIGURES
SQUARE CUBE
RECTANGLE CUBOID
TRAPEZIUM CYLINDER
HEXAGON CONE
OCTAGON SPEHERE
PENTAGON HEMISPHERE
CIRCLE PRISM
WHAT ARE 2D OR PLANE FIGURES ?
Plane figures are flat two- dimensional (2D) shape. A plane figure can be made of straight lines, curved lines, or both straight and curved lines.
WHAT ARE 3D FIGURES ?
A 3D figure is a figure that has height, depth, and width. Such a figure does not lie entirely in a plane.
AREA OF 2D FIGURES
AREA OF SQUARE
The Area is the side
length squared: Area = a2
Area of a Square =
Parallelogram
The Area is the base times
the height:Area = b ×
h(h is at right angles to b)
Area of a Parallelogram =
Triangles
The area is half of the base times height.
• "b" is the distance along the base• "h" is the height (measured at right
angles to the base)
Area = ½ × b × h
Rectangle
Area of a Rectangle =
The Area is the width times
the height:Area = w × h
• π (Pi) times the Radius squared, which is written: A = π × r2
The area of a circle is
3D FIGURES
VOLUME AND SURFACE AREA OF CUBE
VOLUME OF CUBE = DIAGONAL OF A CUBE =T.S.A OF CUBE = 6 C.S.A OF A CUBE = 4
VOLUME AND SURFACE OF CUBOID
VOLUME OF CUBOID = L*B*HT.S.A OF CUBOID =2∏r(r+h)C.S.A OF A CUBOID =2∏rh
VOLUME AND SURFACE OF cylinder
VOLUME OF cylinder = ∏ T.S.A OF cylinder =2C.S.A OF A cylinder = 2
VOLUME AND SURFACE OF RIGHT CIRCULAR CONE
VOLUME OF CONE = C.S.A OF A CONE =
T.S.A OF CONE =
VOLUME SURFACE OF SPEHERE
VOLUME OF SPEHERE = S.A OF A SPEHERE =VOLUME OF SPERICAL SHELL = ; -)
VOLUME AND SURFACE OF HEMISPEHERE
VOLUME OF HEMISPEHERE = T.S.A OF A HEMISPEHERE = 3
C.S.A. OF HEMISPERE = 2
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