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Unit 10 – Day 2 Assignment

Unit 10 – Day 2 Assignment. Read through and take notes from the following slides Write down any questions you have while reading Things you don ’ t understand Definitions that sound confusing etc Write down and attempt to solve each example problem Leave yourself room to show work.

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Unit 10 – Day 2 Assignment

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  1. Unit 10 – Day 2Assignment • Read through and take notes from the following slides • Write down any questions you have while reading • Things you don’t understand • Definitions that sound confusing • etc • Write down and attempt to solve each example problem • Leave yourself room to show work

  2. Today’s Objective • Students will be able to find the surface area of pyramids and cones

  3. Pyramid Definition: A Pyramid is a polyhedron with one polygonal base and triangular lateral faces that meet at a common vertex • The Altitude of a Pyramid (or height) is the perpendicular segment from the vertex to the base. • The SLANT HEIGHT (L) is the length of the altitude of a lateral face of the pyramid

  4. Pyramid Formulas

  5. Ex6: Find Lateral and Surface Areas LA = SA =

  6. Ex 7: Find LA and SA LA = SA =

  7. Cones • Definition: A cone is like a pyramid but has a circle base. The Altitude (or height) is the perpendicular distance from the vertex to the base. The slant height is the distance from the vertex to a point on the edge of the base.

  8. Cone Formulas

  9. Ex 8: Find LA and SA LA = SA =

  10. Ex 8: Find LA and SA LA = SA =

  11. Regular Tetrahedron • A Tetrahedron is a polyhedron composed of four congruent, equilateral triangles

  12. Surface Area of a Regular Tetrahedron • A Net is a two-dimensional pattern that can be folded into a 3-D figure (We’ll look at more tomorrow) • Lets look at a net for a regular tetrahedron. • How can we find the surface area of a regular tetrahedron? • or

  13. Example • Calculate the surface area of a regular tetrahedron with an edge of 5cm

  14. Sphere • Definition: A Sphere is the set of all points in space equidistant from a given point (the center) • Definition: The Great Circle is the largest cross section (circle) of a sphereand shares the same radius and center as the sphere Center Great Circle

  15. Surface Area of a Sphere • Find the Surface Area of the following spheres in terms of π • Ex 1: r = 14 • Ex 2: d = 12 • Ex 3: C = 36π • Ex 4: C = 52π

  16. Got it? • Try the Examples! • Write down anything you are confused about!

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