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Geometry (Triangles & Polygons) I2 Topics1 Quiz
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Geometry (Triangles & Polygon) II2 Topics1 Quiz
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Geometry (Triangles & Polygon) III3 Topics1 Quiz
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Trigonometry I2 Topics
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Trigonometry II3 Topics1 Quiz
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Trigonometry III3 Topics1 Quiz
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Mensuration | Plane Shapes3 Topics1 Quiz
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Mensuration | Arcs, Sectors and Segments of Circles4 Topics1 Quiz
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Mensuration | Solid Shapes8 Topics1 Quiz
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Statistics2 Topics1 Quiz
Topic Content:
- Definition of Composite Solid
- Hollow Shapes
- Frustum of Cone and Pyramid
Composite Solids:
Definition: A Composite Solid is a combination of basic Solids put together. Consider the diagram below, the composite solids are made as follows:
Hollow Shapes:
Definition: These are shapes that have space inside. The volume of material in a hollow object is found by subtracting the volume of the shape inside from the volume of the shape as if it were solid; examples of such shapes are boxes and pipes.
Frustum of Cone and Pyramid:
Introduction: If a cone or pyramid, standing on a horizontal table is cut through, parallel to the table, the top part is a smaller cone or pyramid. The other part is called Frustum, see the diagram below.
In order to find the volume or surface area of a frustum, it is necessary to consider the frustum as a complete cone (or pyramid) with the smaller cone removed.
Example 9.8.1:
A water tank is 1.2 m square and 1.35 m deep. It is half full of water. How many times can a 9-litre bucket be filled from the
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