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Geometry Fundamentals: Shapes, Areas, and Composites

Explore how to calculate areas of various shapes, understand composite figures, discover the concept of a prism, net, and solid objects. Dive into geometry basics!

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Geometry Fundamentals: Shapes, Areas, and Composites

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  1. Examples Journal 9-10 Jose Antonio Pomes

  2. areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus: 5 10 5 4 8 Area = 252 Area = 40 2 10 Area = 402 10 5 3 8 6 Area = 36 2 3 5 Area = 50 2 Area = 7.5 2

  3. find the area of a composite figure. Explain what a composite figure is 4 12 8 6 6 8 4 3 Area = 64 2 Area = 120 2 14 5 2 4 Area = 99 2

  4. area of a circle: 7 5 10 Area = 78.5 2 Area = 153.86 2 Area = 314 2

  5. what a solid is:

  6. find the surface area of a prism. What is a prism? Explain what a “Net” is This is the net of a square. This is the net of a pyramid. This is a prism.

  7. find the surface area of a cylinder Radius 2 Find the surface area of a cylinder with a radius of 2 cm, and a height of 1 cm S=2pir2+2pirh S=2pi22+2pi(2)(1) S=6.28(4)+6.28(2) S=25.12+12.56 Surface area = 37.68 cm2 Cylinder

  8. find the surface area of a pyramid:

  9. find the surface area of a cone.

  10. find the volume of a cube: Cube 2 Cube Cube 3

  11. Cavalieri’s principle

  12. Find the volume of a prism:

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