ictl project
TRANSCRIPT
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NAME:NAZIHAH BINTI MOHAMAD AZHAR
CLASS:FORM 2 SULTANAH
SUBJECT:MATHEMATICS
TOPIC:SOLID GEOMETRY
SCHOOL:SMK SULTANAH ASMA
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CHAPTER 12 : SOLID GEOMETRY
FORM2 12.1-PRISMS, PYRAMIDS,CYLINDERS, CONES AND SPHERES.
12.2-NETS. 12.3-SURFACE AREA.
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12.1-PRISMS, PYRAMIDS,
CYLINDER, CONES ANDSPHERES Geometric solids:
~3D shapes.~have length, breadth andheight.
The world around us alsomade up with differentgeometric solid.
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GEOMETRIC PROPERTIES PRISMS has 9 edges, 2
triangular faces, 3rectangular and 6 vertices.
PYRAMIDS has 8 edges,1 rectangular faces,4triangular faces and 5vertices.
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CYLINDERS has 2 edges, 2circular faces,1 curved surfaceand 0 vertices.
CONES has 1 edge, 1 circular face,1 curved surface and 1vertex.
SPHERES has 0 edge, 1 curvedsurface and 0 vertex.
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PRISMS
Has TWO SURFACES that are paralleland congruent.
Its NAMED AFTER the shape of the twoparallel and congruent faces.
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RECTANGULAR PRISMS~ 6 rectangular faces
~12 edges~8 vertices
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PENGONAL PRISMS~2 pentagonal faces~5 rectangular faces~15 edges~10 vertices
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PYRAMIDS
Has POLYGON BASE . All other faces are TRIANGULAR and
meet together at one point (vertex). NAMED by the shapes of their base.
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SQUARE PYRAMID~1 square face (base)
~4 triangular faces (slanting faces)~8 edges.~5 vertices.
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TRIANGULAR PYRAMID~4 triangular faces.~6 edges.~4 vertices.
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PENTAGONALPYRAMID~1 pentagonal face(base)~5 triangular faces(slanting faces)
~10 edges.~6 vertices.
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CYLINDERS
Has a CURVEDSURFACE .
TWO CIRCULARFACES . Has TWO EDGES . NO VERTICES .
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CONES
Has ONE CIRCULAR FACES . ONE CURVED FACE . Only ONE EDGES . Only ONE VERTEX .
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SPHERES
Has a CURVED SURFACE . NO EDGES . NO VERTICES .
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12.2-NETS
Is 2-dimensional plan,which can be folded toform a 3-dimensionalobject.
Net is also known as alayout.
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DRAWING NETS FOR PRISM,PYRAMID, CYLINDER AND
CONE .
PRISM PYRAMID
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CONE
CYLINDER
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Surface area of prism
= area of face A+ area of face B+ area of face C
+ area of face D+ area of face E
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Surface area of pyramid
= area of face A+ area of face B+ area of face C
+ area of face D+ area of face E
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Surface area of cylinder = area of face A
+ area of face B+ area of face C
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Surface area of cone
= area of face A+ area of face B
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FINDING THE SURFACE AREA
OF PRISM, PYRAMID, CYLINDER AND CONE. Prism
~Triangular based prism~Base shape: Triangle: base 'b',height ~'h', and sides S 1, S 2 andS 3
~Area of base: bh~Perimeter of base: S 1+ S 2 + S 3~Surface area = bh + (S 1+ S 2 +
S 3)H
Goog l
rc GI : r
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Pyramid
~area of base+ total areas of all
triangular faces.
~ 3.14
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Cylinder
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Cone
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Example:
(a is the length of the side of each edge of the cube)In words, the surface area of a cube is the areaof the six squares that cover it. The area of oneof them is a*a, or a 2 . Since these are all thesame, you can multiply one of them by six, sothe surface area of a cube is 6 times one of thesides squared.
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~ASSALAMUALAIKUM~