Measurements
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The document discusses measurements, area, right prisms and cylinders, surface area and volume of prisms and cylinders, pyramids, cones and spheres, and how multiplying dimensions by a factor affects surface area and volume. It provides formulas for calculating surface area and volume of various 3D shapes and explains that multiplying the length, breadth, and height by a factor k will result in the surface area being multiplied by k^2 and volume being multiplied by k^3.
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3. Geometric concepts like polyhedrons, prisms, lateral area, surface area, and orthographic views are defined and formulas/examples are provided for calculating measurements and drawing representations of prisms.
Chapter 10 day 1 s.a. of prisms
1. The document discusses geometric concepts related to polyhedrons including prisms. It defines key terms like polyhedron, lateral area, surface area, altitude, net, prism, right prism, and provides formulas to calculate lateral area and surface area of right prisms.
2. Examples are given to identify 3D shapes from their nets and to draw orthographic views of objects. The document also contains classwork on drawing nets and calculating measurements of prisms.
3. Geometric concepts like polyhedrons, prisms, lateral area, surface area, and orthographic views are defined and formulas/examples are provided for calculating measurements and drawing representations of 3D objects.
Chapter 10 day 1 s.a. of prisms
1. The document discusses geometric concepts related to polyhedrons including prisms. It defines key terms like polyhedron, lateral area, surface area, altitude, net, prism, right prism, and provides examples of calculating lateral area and surface area of right prisms.
2. Examples are given of identifying 3D shapes from their nets and drawing orthographic views of objects. Formulas are provided for finding the lateral area and surface area of right prisms given the height and parameters of the base.
3. The document is a lesson on geometric concepts involving polyhedrons, prisms, nets, lateral area, surface area, and includes examples and practice problems for students.
12.1 solid geometry
The document discusses concepts in solid geometry including:
- Classifying three-dimensional figures according to their properties such as polyhedra, prisms, pyramids, cylinders, and cones.
- Relating two-dimensional nets to their three-dimensional shapes.
- Analyzing cross-sections of three-dimensional shapes.
- Key terms such as faces, edges, vertices, altitude, Platonic solids, Euler's formula, and surface area are defined.
- Examples of describing three-dimensional shapes from their nets and calculating surface areas of prisms are provided.
Geom12point2and3 97
The document summarizes different types of geometric solids and how to calculate their surface areas. It discusses prisms, cylinders, pyramids, cones, and spheres. For each solid, it defines key terms like base, height, lateral face, radius, and provides the surface area formulas. Examples are included to demonstrate calculating the surface area of different solids.
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.
MENSURATION
PPT CONSISTS OF
TOTAL SURFACE AREA
,LATERAL SURFACE AREA
,VOLUME
EXAMPLES
CONES , CYLINDER,CIRCLE ,RECTANGLE,SQUARE
002 s.a. of prisms
This document discusses how to find the lateral area and surface area of a polyhedron called a prism. It defines key terms like polyhedron, altitude, lateral area, and net. It then explains that the lateral area of a right prism can be found using the formula LA = Hp, where H is the height and p is the perimeter of the base. The surface area of a right prism can be found using the formula SA = LA + 2B, where LA is the lateral area and B is the area of one base. Examples are provided to demonstrate calculating the lateral area and surface area of a right prism with a regular hexagonal base.
12.1 Solid Geometry
Solid geometry involves classifying and analyzing three-dimensional shapes. Key concepts include polyhedra composed of polygons, prisms with two parallel congruent bases, pyramids with a polygonal base meeting at a common vertex, and using nets which can be folded to form three-dimensional shapes. Formulas relate the number of vertices, edges and faces of polyhedra. Surface area calculations involve finding the total area of each face.
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Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptx
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- 2. 2 Everything Maths www.everythingmaths.co.za Area Area is the two dimensional space inside the boundary of a flat object. It is measured in square units.
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- 5. 5 Everything Maths www.everythingmaths.co.za Surface area of prisms and cylinders Surface area is the total area of the exposed or outer surfaces of a prism. To find the surface area of a prism or cylinder we can unfold the shape into a net:
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