Surface area and volume of composite figures Geometric probability

Slides:

Advertisements

Similar presentations

Geometric Solids Use the following key for the formulas in this presentation. b = based = diameter h = heightr = radius l = lengthpi = 3.14 w = width.

Advertisements

 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.

Chapter 12. Section 12-1  Also called solids  Enclose part of space.

6.3: Surface Areas of Pyramids and Cones

Lateral Area, Surface Area, and Notes

Surface Area and Volume

Area of Parallelograms, Trapezoids, and Graphed Shapes Lesson 7.3A M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface.

Chapter 10: Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

Chapter 10: Surface Area and Volume

Volume of a Cylinder, Cone, and Sphere

Lesson 8.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

Volume of Pyramids and Cones

The Pyramid Geometric Solids:. Solid Geometry Review: Solid Geometry is the geometry of 3D- dimensional space that we live in. The three dimensions are.

10-4 Surface Areas of Pyramids and Cones

Warm-up Get out homework. Agenda Review Homework Continue Chapter 11 Homework.

Slide Surface Area  Surface Area of Right Prisms  Surface Area of a Cylinder  Surface Area of a Pyramid  Surface Area of a Cone  Surface Area.

Surface Area and Volume Objectives: Students will be able to find the surface area and volume of three dimensional figures.

Grade 8 math chart TCU Is Going To The Rose Bowl!!!!!!!!!!!!!!!!!!!!

8.3 Volume Objectives: To find the volume of a right prism. To find the volume of a right cylinder. To find the volume of a pyramid. To find the volume.

Warm Up. Difference between a prism and a pyramid.

Prisms & Pyramids 1 Prism and Pyramids Formulas Prisms: Lateral Area: L.A. = ph (p = perimeter, h = height) Surface Area: S.A. = ph + 2B (B = area of base)

Volume And Lateral Surface Area By: Qwendesha Vessel And Azalea Willis.

PRE-ALGEBRA. Surface Area: Pyramids, Cones, and Spheres (10-6) How can you find the surface area of a pyramid using a formula? Surface Area (S.A.) of.

Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.

Notes Over Surface Area l b.

Geometry Practice Test Prisms Find the (1) lateral area and (2) total area and (3) volume of the right prism (1) LA = pH LA.

Lesson #1 Volume of a Cylinder We are learning to…find the volume of a cylinder.

Chapter 10 Notes Area: Parallelograms Area of a figure is the number of square units it encloses. The stuff inside of a figure. Area of a Parallelogram:

Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).

Warm up Find the Volume. Round to the nearest tenths.

Chapter 10 mini unit VOLUME and SURFACE AREA. Do , 9 Then do 5-8 #2-4 is like working backwards.

MTH 232 Section 10.5 Surface Area.

10-4 Surface Areas of Pyramids and Cones

Surface Area & Volume Geometry/Trig 2 Fall 2007.

Volume of a Cylinder, Cone, and Sphere

Warm Up Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a square prism with base area 189 ft2 and height 21 ft 2. a regular.

Surface Areas of Prisms and Cylinders

Warm UP Name the base, Name the figure

Surface area and volume of spheres

Volume of a Cylinder, Cone, and Sphere

You need to learn this on your OWN to be ready for the next class.

Lesson 9-3 Cylinders and Cones.

11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones

11.6 Surface Area and Volume of Pyramids and Cones

Find the surface area of the figure.

Lateral Area & Surface Area Of Pyramids & Cones

Warm-Up Complete Worksheet

Warm up Find the Volume. Round to the nearest tenths.

Surface Area and Volume

Wednesday April 18.

12.3 Surface Areas of Circular Solids

Surface Area and Volume of Cones

Spring 2013 Day 2.

Give Chapter 12 HW on Thursday test day

Chapter 10 Extension Objective: To find missing dimensions

10-4 surface area of pyramids and cones

SOLIDS (3-D stuff) T BOLAN.

10-5 and 10-6 Volume (Prisms, Cylinders, Pyramids, and Cones

Geometric Solids: Cylinders and Cones

Volume of a Cylinder, Cone, and Sphere

Lesson 9-3: Cylinders and Cones

Volume of a Cylinder, Cone, and Sphere

Lesson: 12 – 2 Surface Areas of Prisms & Cylinders

9.4 – Perimeter, Area, and Circumference

10-5 and 10-6 Volume (Prisms, Cylinders, Pyramids, and Cones

We are learning to…find the volume of a cylinder

August 5, 2019 Write in your planner and on your stamp sheet:

July 7, 2019 Write in your planner and on your stamp sheet:

Lesson 9-3: Cylinders and Cones

Presentation transcript:

Surface area and volume of composite figures Geometric probability Tuesday, May 21 Surface area and volume of composite figures Geometric probability

Agenda Check your skills Homework check Surface area and volume of composite figures Class Work Homework

Warm-Up Find the approximate surface area of a regular tetrahedron with edge length of 10 cm. Find the surface area of the sphere with a radius of 6 cm.

HW Check 2. 80 5. 162sqrt(3) 6. 22.5 9. 288pi 10 40pi 6. 300 8. 363.3 13. 36.75pi 17. 180sqrt(3) 22. x = 3

Composite figures Break the shape into figures you are familiar working with. Cones, Cylinders, Pyramids, Prisms, Spheres

Review of Formulas Prisms: LA = ph (perimeter of base*height) SA = LA + 2B (B = area of Base) Volume: Bh (B = area of Base) Cylinder: LA = 2pi*r*h SA = LA + 2B Volume: Bh

Pyramids: LA = (1/2)p. L (perimeter of base Pyramids: LA = (1/2)p*L (perimeter of base* slant height) SA = LA + B (B = area of base) Cone: LA = pi*r*L (L = slant height) SA = LA + B (B= area of base

Sphere:

Geometric Probability

1. Find the SA LA of Cone + (1/2) SA of Sphere

2. Find SA (1/2) SA sphere + A of Circle

3. Volume: V 1 V 2

4. Volume V Cone + (1/2) V of sphere

5. Volume of space between two cylinders V of Whole – V of Hole

1. A) What is the probability for inside the cone

2a) inside the cylinder (radius of cylinder is 4 cm, height is 10 cm)

CW Complete composite figures worksheet Optional: Review sheet: answers are posted on my website: www.cwilson3khs.pbworks.com

Homework Check 80pi 2. 75pi 3. 76 4. 12250.6 5. 1728-108pi = 1388.7

Homework Check SA=784pi V=3658.7pi SA=1960000pi V=457333333pi R=15 8. r=16 9. r=12 10. r=6