Sec 1 na e learning
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Transcript of Sec 1 na e learning
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Vertex
Lateral face
Polygonal base
Height of the pyramid
The lateral faces are congruent isosceles triangles.
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Base is a Triangle Base is a SquareTriangular Pyramid Square Pyramid
PyramidsPyramidsA pyramid is named after the shape of its base.A pyramid is named after the shape of its base.
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Relationship between the volume of a pyramid and the volume of a prism with the same base area and height.
You need 3 times to fill up the volume of the pyramid.Volume of pyramid = the volume of the prism
= base area height
31
Prism
Pyramid With sameBase area & height
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Cones
Curved surface(Lateral surface)Base
radius
Vertex
HeightSlant height
A cone is very much like a pyramid.
Instead of a polygon, it has a circle as its base.It also has a single curved surface, instead of a set of flat triangular faces.
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Volume of a Cone
We observe that the contents of three cones will exactly fill one cylinder.
Volume of a cone = volume of cylinder= area of base height
= r2h
31
31
31 r is the radius
h is the height
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• Volume of a Pyramid
BhV31
Volume HeightBase Area
B
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• Volume of a Cone
BhV31
Volume HeightBase Area
rB
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Egyptian Pyramid
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The ConeA Cone is a three dimensional solid with a circular base and a curved surface that gradually
narrows to a vertex.
Volume of a Cone=
+ + =
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Find the volume of a cylinder with a radius r=1 m and height h=2 m. Find the volume of a cone with a radius r=1 m and height
h=1 m
Volume of a Cylinder = base x height = r2h
= 3.14(1)2(2)
= 6.28 m3
Exercise1
Volume of a Cone = (1/3) r2h
= (1/3)(3.14)(1)2(2)
= 2.09 m3
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