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PRI S M A N D SPECIAL PRISM. … m a t h e m a t i c p r e s e n t a t i o n. about prism : 3D geometric figure faces, vertex, edge = based on the type of the prism. kinds of prism : square prism/cube rectangular prism triangular prism e t c. PRI S M. definition of square prism/cube.
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PRISMANDSPECIAL PRISM …mathematicpresentation
about prism: 3D geometric figure faces, vertex, edge = based on the type of the prism kinds of prism: square prism/cube rectangular prism triangular prism etc PRISM
definition ofsquare prism/cube square prism/cubeis athree dimensional geometric figurewithall sidesmade of squares—calledfaces. this presentation describe about cube as a prism and cylinder as a special prism, and just describe a little about rectangular prism… …next slide will describe more about cube: side, vertex, edge, volume, surface area, and diagonal formula E C B U
cube description: • 3D geometric figure • all sides are same • all sides made of square—called faces side
cube’ssurface areaformula surface area =the sum of areas of allthe face= Q:find the cube surface area if the edge is A: surface area area surface
cube’svolume formula V = Volume sa = side area s = length of edge Sa = Surface area • e.g: • V = s3 = 73 =343 cm2 volume
cube’sfaces,spaces,planes diagonal • cubehas12 faces diagonal • formula : • the fact: • cubehas4 spaces diagonal • formula: • the fact: • cubehas 6 planes diagonal • formula: • the fact:
definitionofrectangular prism rectangular prismisa three dimensional figurethathas two same sides and other four same sides.the figure is like cube, but not all sides are the same.
rectangularprism’ssurface areaformula Q:Sa = 426 cm2 h = 12 cm w = 9 cm t = ? A: surface area
rectangularprism’svolumeformula Q :V = 9000 cm3 h = 10 cm w = 15 cm t = ? A:9000 = 10 x 15 x t 9000 = 150 x t 150t = 9000 t = 60 cm volume
rectangularprism’sfaces,spaces,planes diagonal • to find thefaces,spaces,planesdiagonalforrectangular prismis same ascube.but,tofind thefacesandspacesforrectangular prism,find it withPythagorastheory—becausenot all sides are same. this is the basic formula: • to find theplanes diagonalforrectangular prism,the formula is same as to find the areaofrectangle.this is the basic formula:h x w
SPECIALPRISM forspecialprism, we will describe aboutcylinder—circleprism.
definition ofcylinder cylinder/circle prismis athreedimensional geometric figurethathas two circle sidesanda side who covers the figure around that two circles y D C E r i l n
cylinder description • 3D figure • has 2 same-circle-side and one rectangular cover • has no vertex side cover
cylinder’ssurface areaformula • surface area • cover area= • circle side area= • perfect surface area(with two circle sides)= • imperfect surface area(without one circle side) =
cylinder’svolume formula • volume • circle area= • volume=one circle side area x t= • d=2r • r= ½ d • volume=
example:volume vo Q: d=7 cm t=14 cm V=? A :V= = = =462 cm3 lu me
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