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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~