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From Karnataka Open Educational Resources
→Surface area of a cylinder
==== Concept #5. Measurements in solid figures ====
==== Concept #5. Measurements in solid figures ====
'''Concept Map'''
[[File:measurements_in_solids.mm|Flash|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Measurements_in_solids.mm]]
[[File:measurements_in_solids.mm|Flash|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Measurements_in_solids.mm]]
=====Activities=====
=====Activities=====
======[[Surface area of a cylinder]]======
======[[Surface area of a cylinder]]======
The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated.
======[[Paint and fill the Cylinder]]======
======[[Paint and fill the Cylinder]]======
The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated.
====Concept #4. Cone====
====Concept #4. Cone====
A cone is a three dimensional solid with a circular base that narrows toward a point, called its vertex. It has a flat circular base, has 1 side which is a curved surface. Shapes which resemble a cone are said to be conical. A cone has a lateral surface area which is the area of its curved surface. It has a total surface area which is the sum of the area of its curved surface and its circular base.
A cone is a three dimensional solid with a circular base that narrows toward a point, called its vertex. It has a flat circular base, has 1 side which is a curved surface. Shapes which resemble a cone are said to be conical. A cone has a lateral surface area which is the area of its curved surface. It has a total surface area which is the sum of the area of its curved surface and its circular base.
=====Activities=====
=====Activities=====
======[[Surface area of a cone]]======
======[[Surface area of a cone]]======
Areas related to cone are introduced with geogebra sketch.
======Concept #6. Sphere======
======Concept #6. Sphere======
Sphere is a solid figure where all points are at an equal distance from the center point.It's a ball. It is perfectly symmetrical. It has no edges or vertices (corners). It is not a polyhedron. All points on the surface are the same distance from the center which is the radius "r" of the circular shape. Of all the shapes, a sphere has the smallest surface area for a volume. i.e it can contain the greatest volume for a fixed surface area.
Sphere is a solid figure where all points are at an equal distance from the center point.It's a ball. It is perfectly symmetrical. It has no edges or vertices (corners). It is not a polyhedron. All points on the surface are the same distance from the center which is the radius "r" of the circular shape. Of all the shapes, a sphere has the smallest surface area for a volume. i.e it can contain the greatest volume for a fixed surface area.
This activity has been taken from the website [http://www.ehow.com/info_7838171_classroom-activities-surface-area-sphere.html ehow.com]
This activity has been taken from the website [http://www.ehow.com/info_7838171_classroom-activities-surface-area-sphere.html ehow.com]
====Concept #7. Pyramid====
====Concept #7. Pyramid====
A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base. A triangular pyramid with all equilateral triangled faces becomes the regular tetrahedron, one of the Platonic solids. The base of a regular pyramid is a regular polygon and its faces are equally sized triangles. A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. A right pyramid has isosceles triangles as its faces and its apex lies directly above the midpoint of the base. A pyramid is named based on its base as triangular pyramid, square pyramid or pentagonal pyramid.
A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base. A triangular pyramid with all equilateral triangled faces becomes the regular tetrahedron, one of the Platonic solids. The base of a regular pyramid is a regular polygon and its faces are equally sized triangles. A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. A right pyramid has isosceles triangles as its faces and its apex lies directly above the midpoint of the base.
=====Activities=====
=====Activities=====
======[[Surface area of a pyramid]]======
======[[Surface area of a pyramid]]======
Investigating areas of all surfaces in a pyramid with this activity.
Investigating areas of surfaces in a pyramid is approached with this activity.
====Concept #8.Prism====
====Concept #8.Prism====
