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Geometric Shapes

Geometric Shapes. Majed Al Naimi 9C. What is a perimeter?. A perimeter of a shape is the sum of the distances around the sides of the shape as shown in red. Perimeter. What is an area ?. The area of a shape is the number of square units that can fit inside the shape as shown in red. Area.

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Geometric Shapes

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  1. Geometric Shapes Majed Al Naimi 9C

  2. What is a perimeter? A perimeter of a shape is the sum of the distances around the sides of the shape as shown in red. Perimeter

  3. What is an area ? The area of a shape is the number of square units that can fit inside the shape as shown in red. Area

  4. Square s Perimeter = 4s Area = s x s s s s

  5. Rectangle Perimeter = 2l + 2w Area = l x w l w w l

  6. Triangle Perimeter = a + b + c Area = a c h b

  7. Parallelogram Perimeter = a + b + c + d Area = b x h d a h c b

  8. Trapezoid Perimeter = a + b + c + d Area = a c h d b

  9. Rhombus Perimeter = a + b + c + d Area = a b h k c d

  10. Circle Circumference = Area = r

  11. Sector Arc length = Perimeter = Area = r

  12. What is a surface area? The surface area of a three-dimensional solid with plane faces is the sum of the areas of the faces. Surface area is the sum of the areas of the outside rectangle or how much paint we need to paint it from the outside.

  13. What is a volume? The volume of a solid is the amount of space it occupies. Volume of this shape is for example how much water can fit inside

  14. 3D shapes There are different examples of regular 3D shapes like, prisms, pyramids and spheres. Prisms Sphere

  15. Volumes for prisms and pyramids The volume of a prism is the area of the base multiplied by the height. The volume of a pyramid is one third the area of the base multiplied by the height.

  16. Rectangular prism Volume = l x w x h Surface area = 2lw + 2lh + 2wh h w l

  17. Triangular prism Volume = Surface area = bh + bl + 2ls

  18. Cylinder Volume = Surface area of solid cylinder = Surface area of hollow can = Surface area of hollow cylinder =

  19. Square pyramid Volume = Surface area =

  20. Triangular pyramid Volume = Surface area =

  21. Cone Volume = Surface area of solid cone = Surface area of a hollow cone =

  22. Sphere Volume = Surface area =

  23. Real life dimensions of shapes • In the following slides I will be finding the real measurements of some shapes in real life such as soccer fields, pyramids, coca cola can, basket ball and traffic cone.

  24. Soccer field L = 120m To know how many a meters a player would run around the soccer field we calculate the perimeter Perimeter = 120 + 120+ 90 +90 = 420m To know how much grass needed to cover the field we use the area. Area = 90 x 120 = W = 90m

  25. Basket ball Radius = 11.7 cm To know how much air needed to inflate the ball we need to Calculate the volume. Volume = To know how much leather was used In making the basket ball we need to Calculate surface area. Surface area = r= 11.7cm

  26. Pyramid Height = 146 m Base = 230 m Lateral height= s h s b Volume = Surface area =

  27. Coca Cola can To know how much cola can fit inside the can we calculate the volume. Volume = To know how much aluminum was Used in making the closed can we Calculate the surface area. Surface area = I rounded the answer up to take into account the waste of material.

  28. Ice cream cone Radius = 6 cm Height = 11 cm Lateral height = The amount of ice cream That can fit inside the cone Up to the tip of the cone Is V = r=6cm h=11cm s=12.5cm The amount of biscuits used is the surface area of the hollow cone Surface area =

  29. The End(our farm )

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