1 / 17

MATH 3A GEOMTREY CHAPTER 11 POWER POINT PRESENTATION

This learning module focused on solid geometric figures provides you with the essential skills to calculate volumes and surface areas for various 3D shapes including cylinders, cones, pyramids, spheres, and prisms. You will learn definitions, formulas, and key properties of these shapes. Additionally, the module covers both customary and metric measurement systems, ensuring you understand how to convert between units. By the end of this chapter, you'll be confident in measuring and calculating areas and volumes of solid figures.

bowie
Télécharger la présentation

MATH 3A GEOMTREY CHAPTER 11 POWER POINT PRESENTATION

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MATH 3A GEOMTREY CHAPTER 11 POWER POINT PRESENTATION SOLID GEOMETRIC FIGURES AND THEIR MEASURES

  2. LEARNING TARGETS • AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO: • CALCULATE BASIC VOLUMES FOR CYLINDERS, CONES, PYRAMIDS, SPHERES, PRISMS. • CALCULATE AREAS FOR: CYLINDERS, CONES, PYRAMIDS, SPHERES, PRISMS. • COMPLETE MEASUREMENTS FOR SOLID FIGURES.

  3. What is Volume? • Volume is a measure of the number of unit cubes in a solid figure. It is sometimes called capacity. • Prism: A 3-D figure that has congruent polygons as bases, and whose sides are parallelograms. • A Prism can be a: cube, a rectangular prism, or a triangular prism.

  4. Cube • Cube – a 3-D figure whose sides are all equal. • Volume formula: V = lwh or length times width times height). You could also calculate side³. List answers in units cubed³ • Area formula: A = 6s². List answers in units squared.²

  5. Triangular Prisms • A triangular prism has 2 triangle bases, and three rectangle sides. • Volume formula: V = Bh where B is the area of the base. Listed in units cubed³. • Area formula: A = 2(area of triangle + h (a+b+c). List answers in units squared².

  6. Rectangular Prism • Has a longer base than height. • Volume formula: V = lwh (length times wideth times height). Listed in units cubed³. • Area formula: 2(lw + hl + hw). Listed in units squared².

  7. GEOMETRIC SOLIDS

  8. Volume Formulas

  9. Another View

  10. Surface Area Formulas • Cube: 6s² • Rectangular Prism: 2(lw + hl + hw) • Right Prism: 2(area of triangle) + h(a + b + c) • Cylinder: 2πr² + (2πr)h • Pyramid: s² + 2sl (area of base + areas of 4 triangles) • Cone: πr(r + l) = πr² = 1/2bl (area of base plus area of sides)

  11. Measurement • Customary: units that are common, ordinary used in the United States: inches/feet/yards/cups/ounces/gallons/pints/miles/pounds/ounces/tons,etc. • Capacity: The amount a container will hold. • Metric: A system based on powers of ten: • Liquid: Liters (L), Capacity • Weight: Grams (g), Mass • Distance: Meters (m)

  12. Common Conversions • 1 foot = 12 inches • 1 yard = 36 inches • 3 feet = I yard • 1 mile = 5,280 feet • 1 cup = 8 fluid ounces • 2 cups = I pint • 2 pints = I quart • 4 quarts = I gallon

  13. A few more… • 1 pound = 16 ounces • 2,000 pounds = 1 ton • 12 months = I year • 60 minutes = I hour • 1 day = 24 hours • 1 year = 365 days • 1 mile = 1,760 yards • 1 acre = 43,560 sq. ft or 4,840 sq. yards

  14. Metric Conversions

  15. More Metric Conversions

  16. Metric Prefixes

  17. Metric Chart • Kilo – Hecto – Deka Unit deci – centi – milli • km hm dam m,g,L dm cm mg 10g • To convert: move the decimal forward or backward • Ex: 10 grams = 1.0 dekagrams

More Related